The Wallabies flanker played 26 matches, including eight Test matches, between 1949-1953 died at aged 83.
Brockhoff played three times against the Lions during his career as a player. He was twice on the losing side in Australia colours during the 1950 tour but helped New South Wales to a famous 17-12 win at the Newcastle cricket ground later in the same year.
"Brock", as he was affectionately known, also coached the Wallabies for six years between 1974-79.
During that period the Wallabies secured the Bledisloe Cup for the first time since he won it as a player in 1949, appearing in 10 of the 12 matches as well as both Tests of a series that the Wallabies won 2-0.
Brockhoff also played for NSW between 1949-1954 and was elected as a lifelong member of the Australian Rugby Union in 2004.
He remained a regular at both Wallabies and NSW Waratahs training sessions and was last year anointed as one of the game's statesmen.
Born in Sydney's Rose Bay, Brockhoff was educated at The Scots College, where he appeared in the first XV for three straight years.
He moved on to Sydney University and gained blues in rugby union through four consecutive years from 1948-1951, playing 95 games for the University club before joining Eastern Suburbs in 1953.
He continued playing for Eastern Suburbs following the end of his Wallabies career and then turned his hand to coaching. In 1974 when he was invited to coach the Wallabies.
The NSW Waratahs will wear black armbands in respect of Brockhoff during their Super Rugby clash with the Brumbies.
Brockhoff is survived by his wife Claire, sons John and Peter and daughter Julia.