The 41-year-old was last seen in Cranbourne, south east of Melbourne, at 11am on Wednesday Morning.
The actor was wearing blue jeans, a black jacket and black and red runners.
Fears are held for Beckwith's welfare as he has a medical condition.
Beckwith played Michael Martin on Neighbours in the 1990s.
Police are calling for members of the public who see him or have any information on where he may be to contact Cranbourne Police Station on 5991 06.
This article originally appeared on WHO.