He is considered to be one of the most important players in the history of the Greek basketball club Olympiacos Piraeus.

Kambouris played with Olympiacos Piraeus from 1978 to 1995, except for the 1980–81 season,during which he spent on loan with the Greek club A.N.O.

As the Team Captain of Olympiacos, he won three Greek League championships, in the years 1993, 1994, and 1995.

He was also a member of two Olympiacos teams that played in the EuroLeague Finals, in 1994 at Tel Aviv, and in 1995 at Zaragoza.

With Greece's senior national team, he had a total of 126 caps (games played).