He died on Sunday at the age of 69 after battling a long illness.
West spent 11 years at Goodison Park, making more than 400 appearances and winning two league titles in 1963 and 1970, as well as the FA Cup in 1966.
Everton paid £27,000 to sign West from Blackpool, then a British record transfer fee for a goalkeeper.
He won three caps for England and was part of the squad that came third at the 1968 European Championship.
Fellow Everton favourite Graeme Sharp told the club’s official website upon hearing of West’s passing: ‘It’s dreadfully sad. I met Gordon many times and he was a real larger-than-life character who loved Everton.
‘All Evertonians will be distressed at this news and my thoughts are with his family.’