The 56-year-old replaced Neil Young in January 2014 and has overseen a roller-coaster period for the fan-owned club, which included a relegation, a reprieve, a memorable FA Cup campaign and 12th placed finish and an ongoing battle for survival.
Burr was appointed soon after Kidderminster Harriers had sacked him following four years in the Aggborough hot-seat and fans were delighted to snare a manager with a reputation as one of the best outside the Football League.
With the club in trouble at the wrong end of the Conference Premier when he arrived, he was tasked with leading the Blues to safety and came agonisingly close to achieving it but a draw on the final day of the 2013-14 season with Salisbury City was not enough.
Six weeks later that relegation was overturned when debt-ridden Hereford were expelled from the Football Conference and Chester were reinstated into non-league's top flight.
Despite a disastrous start to the 2014-15 season with a 5-0 defeat to Barnet, the Blues made pleasing progress under Burr and he guided them to some memorable victories, including a dramatic win over Wrexham and an FA Cup giant-killing at Southend United.
Following a 12th place finish, Burr signed a new two-year contract and hopes were high the club would be able to break into the top 10 during the 2015-16 campaign.
But after a bright start, results and performances tailed off and the current season has been a cause of great disappointment for everyone connected with the club.
That disappointment prompted the board to act on Thursday when Burr was told his services were no longer required. Here's a look back at the highs and lows of his time as Blues boss:
Steve Burr's tenure as Chester FC manager
January 2014: Appointment as manager
Burr confirmed as new manager, replacing Neil Young on January 18. He makes an immediate impact as the Blues beat Barnet 2-1 and then win 1-0 at Woking.
February 2014: Taylor swoop gets Blues firing
Burr brings in Matty Taylor on loan and Chester climb out of the bottom four after victories over FC Halifax Town and Tamworth to give supporters real hope of survival
March 2014: Points at a premium after Taylor recalled
Forest Green Rovers recall Taylor and injuries start to bite as a run of just two wins in eight games drags the Blues back towards the bottom four.
April 2014: Heartbreak as Blues go down on final afternoon
A fine win at Cambridge United edges Chester close to safety but the season ends in heartbreak as a 2-2 draw with Salisbury City and a win for Hereford United sees them finish in the relegation places.
May 2014: Burr and Macca stick with club despite relegation
Burr agrees a new two-year deal and Jon McCarthy commits his future to the club despite the drop and the club moves toward a full-time training model as the financial problems at Hereford worsen, raising doubts over which division Chester will be in.
June 2014: Relegation reprieve means rebuild can begin
At the end of a drawn out saga, Football Conference officials expel Hereford United on June 10 and the Blues are reprieved from relegation as Burr begins to assemble a new-look squad.
July 2014: Pre-season gets underway
In a summer of change, the squad starts training at the club's new base at the MBNA headquarters and early pre-season performances offer plenty of promise.
August 2014: Barnet battering has fans fearing the worst
Chester make a nightmare start to the season, losing 5-0 to Barnet and winning just once in six games to leave many supporters fearing another relegation scrap.
September 2014: Wrexham defeated as results pick up
Performances improve greatly and four wins, including a dramatic defeat of bitter rivals Wrexham, lifts the mood around the Swansway Chester Stadium.
October 2014: Hughes checks-in as Blues hit form
Burr brings in Matty Hughes and he proves an instant success as the Blues lose just once and end the month with a pulsating 4-2 win at Stockport in the FA Cup.
November 2014: FA Cup heroics as good run continues
An excellent FA Cup win at Southend United is the highlight of another productive month with Rhys Oates adding more firepower to the squad.
December 2014: Cup run ends as results tail off
Chester come close to knocking Barnsley out of the FA Cup as the month starts on a high but the loss of Hughes and Oates coincides with a downturn in form and 2014 ends with just one win from seven as Burr confirms his intention to reshape his squad in the transfer window.
January 2015: New recruits spark winning run
Back-to-back defeats mean a tough start to the month but the arrivals of Ryan Higgins, Oliver McBurnie, Brad Abbott, George Thomson and the return of Hughes leads to three straight wins as the Blues end the month on a high.
February 2015: Blues begin to believe play-offs are within reach
Another three points picked up on the road at Lincoln strengthens Chester's claims as outside bets for the play-offs, although a narrow defeat at home to Eastleigh dents the momentum.
March 2015: Progress sees Burr handed new contract
Although the Blues register a single win from six games and suffer a disappointing defeat at Wrexham, the progress made over the season leads to Burr being rewarded with a new two-year contract, a move which almost every supporter endorses.
April 2015: Season ends on a high with three straight wins
Two heavy defeats against promotion-chasing Bristol Rovers and Forest Green Rovers to start the month but the Blues finish the season on a high with successive wins against Dover Athletic, Aldershot Town and Nuneaton Town to secure a 12th place finish, representing a significant improvement from 12 months ago.
May 2015: Recruitment starts as Blues target improvement
Burr begins to assemble his squad for the 2015-16 campaign, releasing seven players including Matty Brown and Gareth Roberts, and giving new deals to George Thomson and Tom Peers, although he misses out on Matty Hughes, who opts for a move to AFC Fylde.
June 2015: Impression additions raise optimism
A clutch of impressive close-season recruits arrive with Ross Hannah, Luke George, Johnny Hunt, Tom Shaw and Ian Sharps moving to the renamed Lookers Vauxhall Stadium, raising hopes on the terraces of further progress in the new campaign.
July 2015: Smooth pre-season provides perfect preparation
The new-look squad begins pre-season training at MBNA and performances in friendlies against Football League offer more encouragement while a thumping win over Liverpool under-21s sends the club into the first game in positive spirits.
August 2015: Promising start gets Blues fans excited
Chester make a solid start to the season, recording three wins and three draws from their opening seven games and supporters begin to believe talk of challenging for the play-offs carries weight.
September 2015: Results drop off in tough month
The good of the opening month is undone with a run of one win from six games, which includes defeats to big-spending Forest Green Rovers and Tranmere Rovers. Losses at Welling United and Bromley, two clubs expected to struggle, cause concern.
October 2015: FA Cup exit signals the start of downturn
Despite another memorable win against Wrexham, it's another mixed month with wins against struggling FC Halifax Town and Southport, along with losses against Barrow, Lincoln City and Forest Green Rovers. A hugely disappointing FA Cup exit at Altrincham means there will no cup revenue to spend on squad strengthening this season.
November 2015: Blues slide down the table
Chester begin the month with an impressive win against Burr's former club Kidderminster Harriers but then fail to win again from four games as the slide down the table begins.
December 2015: Hannah's hat-trick offers respite
Ross Hannah's hat-trick in a 4-1 win over Torquay United is the bright spot in another difficult month, which includes defeats to Cheltenham Town and Macclesfield Town. An FA Trophy win at AFC Telford United provides some comfort as some fans hope for a trip to Wembley to save the season.
January 2016: FA Trophy win fails to lift the gloom
Despite a comfortable win against Hungerford Town in the FA Trophy, the Blues experience an otherwise barren month, failing to register a victory in the league. Defeats at Braintree Town and Aldershot Town, along with frustrating home draws with Southport and Altrincham underline the team's struggles.
February 2016: Signs of a recover but month ends in derby disappointment
Although the month starts with an FA Trophy defeat at FC Halifax Town, an excellent 3-0 win at Altrincham and a spirited 2-2 comeback draw at Kidderminster Harriers give the Blues breathing space and provide supporters with some optimism. However, an uninspired 1-0 defeat at home to Tranmere Rovers dampens the mood again.
March 2016: Aldershot thrashing can't mask ongoing struggle
Despite a remarkable 8-2 win at home to Aldershot Town in which James Alabi scored four times, the Blues continue to toil with defeats to Eastleigh, Wrexham and Barrow, and the failure to beat Bromley and Guiseley drags them into the battle for survival.
April 2016: Sacked after seven-game winless run
Back-to-back games against relegation rivals Boreham Wood and Torquay United were viewed as the ideal chance to climb clear of danger but a single point out of a possible six cranks up the pressure on Burr and after a run of seven games without a win the board decided to terminate his contract with immediate effect.