He plays for Ulsan Hyundai Mobis Phoebus in the Korean Basketball League and is the club's captain and longest-serving player after Yang Dong-geun.

Ham attended Kyungbock High School and played as a forward before being converted into a center at Chung-Ang University.

[2] Together with fellow seniors future MVP winners Park Sang-oh and Yoon Ho-young and freshman Oh Se-keun, they won the MBC Cup two years in a row, breaking Yonsei University's stranglehold and Ham was named tournament MVP of the 2006 edition.

[4] Under Yoo Jae-hak, he developed a reputation as a "blue worker", a Konglish corruption of the term blue-collar worker and a colloquialism in domestic basketball used to describe an unflashy yet essential player often tasked with defending the post or the more physical aspects of the team strategy.

[2] Ham enlisted for mandatory military service in April 2010 and was assigned the Korea Armed Forces Athletic Corps's Sangmu team.