No criminal charges will be laid over a nepotism scandal at the University of Queensland, which lead to the resignation of two heads.

University of Queensland Vice-Chancellor Paul Greenfield resigned last year after an internal investigation found irregularities in the enrolment of a student to whom he is related.

Deputy Vice-Chancellor Michael Keniger also stepped down amid the fallout over the student's admission into UQ's medical program in 2011.

Queensland's Crime and Misconduct Commission (CMC) was asked by police to examine if there were possibly criminal offences over the alleged "forced offer for entry" into the medical program.

The CMC said on Wednesday it had finished its review into how UQ handled the allegations of improper enrolment.