Keith Webber was born in Cardiff in 1943. He began his playing days with Barry Town before signing for Everton as a 17-year-old in 1960. He scored on his first-team debut for Everton in the League Cup against Walsall, but he was to make just four appearances in the league before moving to Brighton & Hove Albion in April 1963 in a £9,000 deal.
After a year at Brighton (38 matches, 15 goals) and then a two-year stint at Wrexham, Keith moved to Doncaster Rovers in June 1966 before joining Chester in June 1969. In his two-year spell at Chester, Keith helped Chester reach the 1970 Welsh Cup final before losing to Cardiff City, a fate he had also suffered when playing for Wrexham five years earlier.
Keith ended his professional career with Stockport County in 1971-72.