A 7 ft (2.1 m) center from Southern Methodist University (SMU), Koncak was selected with the fifth pick in the 1985 NBA draft by the Atlanta Hawks.

Koncak spent ten seasons with the Hawks (1985–1995), mainly in a reserve role, then concluded his career with the Orlando Magic.

Koncak received a six-year, $13 million contract from the Hawks in 1989 – an unprecedented total for a reserve.

Since he was a restricted free agent at the time, the Atlanta Hawks matched this offer from the Detroit Pistons.

[2] Koncak also won a gold medal at the 1984 Summer Olympics as a part of the US men's basketball team.