In October 2020, Parker revealed his diagnosis and underwent chemotherapy and radiotherapy.
The band – also consisting of Nathan Sykes, Max George, Siva Kaneswaran and Jay McGuiness – announced Parker’s death on Wednesday.
Earlier this year, the Bolton-born star performed on stage with his bandmates during their much-delayed reunion tour.
A statement on the band’s Instagram page said: “Max, Jay, Siva, Nathan and the whole Wanted family are devastated by the tragic and premature loss of our bandmate Tom Parker, who passed away peacefully at lunchtime today surrounded by his family and his band mates.
“Tom was an amazing husband to Kelsey, and father to Aurelia and Bodhi.
“He was our brother, words can’t express the loss and sadness we feel. Always and forever in our hearts.”
His widow, Kelsey Parker, formerly Hardwick, said the hearts of his family were broken by his death.
She wrote on Instagram: “It is with the heaviest of hearts that we confirm Tom passed away peacefully earlier today with all of his family by his side.
“Our hearts are broken, Tom was the centre of our world and we can’t imagine life without his infectious smile and energetic presence.
“We are truly thankful for the outpouring of love and support and ask that we all unite to ensure Tom’s light continues to shine for his beautiful children.
“Thank you to everyone who has supported in his care throughout, he fought until the very end. I’m forever proud of you.”
He has been married to Hardwick since 2018 and they welcomed their son, Bodhi, in October last year.
Their daughter, Aurelia Rose, was born in 2019.
During an appearance on This Morning, Parker joked that they were hoping for another.
In January 2021, he announced in an Instagram post that there had been a “significant reduction” in the size of the tumour and that he was “responding well to treatment”.
Parker appeared alongside his bandmates at a Stand Up To Cancer in December, marking the first time their have performed together since 2014.
The Wanted formed in 2009 and are known for songs such as Glad You Came, Chasing The Sun and All Time Low.