Police are searching for a taxi driver following a hit and run involving a cyclist in Melbourne's east.

A 41-year-old Lilydale man was riding his bicycle along Riversdale Road in Hawthorn about 9.30am on January 29.

A taxi turning left out of Fordholm Road clipped the cyclist and continued along Riversdale Road without stopping, police said.

The cyclist fell off his bike and broke his elbow.

Police are appealing for anyone who witnessed the incident or with further information to contact Crime Stoppers on 1800 333 000.