Hollick announced his planned retirement in September, after 30 years at the head of the publishing and media group.
Levin, 42, has worked in the Far East, Asia and Europe, and has experience of media markets from his time in executive positions at Euromoney Insitutional Investor. He will take up the post from April next year.
CMPi, UBM’s business and professional publishing arm, produces magazines such as Music Week, Property Week and Building.
Hollick said: “I am impressed by David’s credentials and qualities. He is thoughtful, inspires confidence and has an impressive track record.
“I feel confident that he will continue to drive United to even greater heights – delivering strong shareholder value.”
Geoff Unwin, Chairman of UBM said the company had chosen Levin over strong internal candidates.
He added: “David Levin has an impressive operational background coupled with a track record of strong strategic execution.
“He also has extensive experience of international and media markets. “Succeeding Clive will be a difficult task for anyone, but we have every confidence that David is the right man.”