Malloy captained the side that won promotion to the old First Division in 1960 - the last time the Bluebirds reached the top-flight before promotion to the Premier League in 2012.
He started his career with Dundee before being signed by Cardiff for £17,500 in 1955.
He left Ninian Park to become player-manager at Doncaster in 1961.
He died in a hospital near Stirling on 14 January and leaves a son, Andy, and daughter, Linda, plus seven grandchildren.