Babies born in Chester or Ellesmere Port on the same day as the next royal baby will be eligible to receive one of 2,015 'lucky' silver pennies.
The Royal Mint announced it will mark the birth of the Duke and Duchess of Cambridge's second child in the same way it commemorated the arrival of Prince George in 2013.
The royal couple's baby will be fourth in line to the throne following Prince Charles, Prince William and Prince George.
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Parents of newborns who share a birthday with the new prince or princess, due later this month, will have to register the birth of their child on The Royal Mint's Facebook page to receive the commemorative gift.
The silver coin will be minted with the one penny's Royal Shield design and the new effigy of the Queen, which was unveiled in March.
It will be presented in a special white box which will be tied with a purple ribbon and which features the image of a silver carousel horse.
A spokeswoman for The Royal Mint said: "It is a fitting gesture to welcome the eagerly anticipated future prince or princess and also in keeping with an age-old tradition to mark a new birth with a gift of silver for good luck."
While the Duke and Duchess of Cambridge have not revealed when their latest family member will arrive, they have reportedly been given a due date of April 25.
New £5 coin
The Royal Mint will also produce a £5 coin in celebration of the birth after the Queen - the baby's great-grandmother - approved the decision at a meeting of the Privy Council at Buckingham Palace on March 19.
Thousands of commemorative coins were struck to celebrate the arrival of George and sold out within days.
The Royal Mint produced 10,000 solid silver crown-sized £5 coins, which cost £80 each, and 2,013 22-carat gold sovereigns, which cost £800 each. Both featured the prince's namesake St George.
Babies born on the same day as George were entitled to receive one of 2,013 free lucky silver pennies.
