Model Abbey Clancy, who is married to former-footballer Crouch, singer Liam Payne and George The Poet have also been photographed.
Other celebrities involved include musicians Miles Kane and Jesse Wood, rugby player Chris Robshaw and actor Sam Claflin.
Speaking about taking part in the campaign, Crouch said: “I've long supported Movember and the important work they do for prostate cancer, testicular cancer and male mental health.
“It's been an honour to join the campaign this year and get behind the cause by growing a mo.
“This year more than ever, I urge everyone to get involved in the month-long movement and show your support in any way you can.”
The portraits were shot by photographer Greg Williams, who has taken photographs of some of the most famous people in the world, including Gigi Hadid, Johnny Depp and Michael Cain.
Michelle Terry, Movember CEO, said: “It's great to see so many well-known faces put on a united front in support of men's health, inspiring men and women to get involved and support our fundraising drive this Movember.
“This year has not been an easy one on many levels and the challenges are most likely to continue, impacting all areas of our life, including our health.”
She added: “We've seen men embrace facial hair during lockdown and are now asking that they put that practice to good use and grow what could be the most important mo they ever grow.”
Research carried out by Movember earlier this year found 83 per cent of British men find it helpful when people ask if they are having a difficult time, but 46 per cent said no one had asked them how they are coping during the coronavirus pandemic.
Around a fifth of men (22 per cent) reported that their mental health had worsened since the start of the pandemic, with 29 per cent saying they felt lonely more often.
A total of 1,451 people were surveyed as part of the research.
Clancy urged more women to get involved with Movember this year, saying: “Many people assume Movember only support men, but they also provide guidance for the support network of those who may be struggling.
“Whether you're a wife, partner, sister or mother, look out for the important men in your life and find out how to get involved at movember.com/2020.”
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