Boyega was named winner of the icon award, with Coel, 33, named the creative icon winner and Rashford awarded the campaigner honour at the virtual ceremony.
Manchester United star Rashford, 23, has won widespread praise and an MBE following his successful lobbying of the Government for the extension of free school meals.
Coel’s critically acclaimed series I May Destroy You, which she wrote and starred in, was streamed earlier this year.
Boyega , who is best known for playing Finn in the Star Wars franchise, made headlines earlier this year for his powerful address during a London Black Lives Matter protest. He also recently spoke openly about racism in Hollywood.
GQ’s annual event, which celebrates men and women who have helped to shape the world’s cultural landscape over style, politics, entertainment and sport, was held online this year due to the coronavirus pandemic.
The awards ceremony was streamed on the GQ YouTube channel and featured an hour of pre-recorded material from winners. Before it begun, there was a “red carpet” event hosted on the GQ and sponsor Hugo Boss social media pages.
It was hosted by Jack Whitehall, who along with several other of the winners was wearing Hugo Boss to the red carpet.
Normal People star Paul Mescal was named the breakthrough actor winner with Captain Marvel actress Lashana Lynch named the breakthrough actress winner.
Lynch will next be seen playing Double-0 agent Nomi in Daniel Craig’s final outing as super-spy James Bond in the delayed No Time To Die.
At the event, Lynch took part in a spoof segment where she answered a series of questions linked up to a lie detector in a section called “No Time to Lie.”
The GQ awards also honoured Patrick Hutchinson, a personal trainer who made headlines after he was photographed in London during a Black Lives Matter protest this year, helping an injured counter-protestor to safety.
Mr Hutchinson was named the winner of the humanitarian award.
The winner of breakthrough designer, which was sponsored by Peroni, was Daniel W Fletcher. Earlier this year, he was named artistic director for menswear of Fiorucci. He also starred in Netflix reality show Next in Fashion, in which designers from around the world competed for a £200,000 prize.
Captain Sir Tom Moore, who recently became GQ’s oldest cover star, was honoured with the inspiration gong.
Author, artist and illustrator Charlie Mackesy, whose book The Boy, The Mole, The Fox And The Horse has been a best-seller, was named winner of the artist award.
Musicians Ozzy Osbourne and Shawn Mendes were presented with gongs too, with Osbourne given a lifetime achievement award while Mendes was named solo artist winner.
Black Sabbath frontman Osbourne revealed at the beginning of this year that he had been diagnosed with Parkinson’s disease.
Mendes finished off the show with a performance.
Good Morning Britain’s Piers Morgan was named the winner of the TV personality award, with designer Tommy Hilfiger honoured as the design legend winner.