The coins which were approved by the late singer's estate, were designed by artist and sculptor Sandra Deiana, and feature Michael's signature look from his debut solo album, Faith.
It shows George Michael wearing his iconic sunglasses, as well as an engraving of the refrain from Faith. These selection of coins also feature in red and black.
"He would have been enormously proud and genuinely touched that a national institution should have decided to pay tribute to his memory in this way", a statement from George Michael Entertainment read.
The coin's designer Sandra Deinana also added, "It's amazing to be able to pay tribute to his music and what you see in the design is truly a piece of George Michael's song".
Meanwhile, Rebecca Morgan, director of collector services at the Royal Mint, said, "From his debut with Wham! to becoming one of the bestselling solo musicians of all time, George Michael is a global superstar whose work has inspired and influenced generations with his music and his unique style".
"Loved by millions of fans worldwide, we are delighted to be introducing an official UK coin celebrating his life and legacy".
Prices for these coins start at £15.50 for a £5 denomination brilliant uncirculated coin, with a colour version available for £24.50. A 2oz gold coin, with a denomination of £200, is also available at £5,305.