The court heard how, after punching him in the head with enough force to knock him to the ground, Amesbury told Mr Fellows: "You won't threaten your MP again, will you?".
CCTV footage showed Amesbury, who has been an MP since 2017, punching Mr Fellows to the ground.
The Runcorn and Helsby MP pleaded guilty in January to assault by beating of 45-year-old Paul Fellows in Main Street, Frodsham, Cheshire, in the early hours of 26 October.
Other videos from another angle show Amesbury punching Mr Fellows repeatedly after knocking him to the floor as members of the public intervened.
Amesbury was suspended from the Labour Party two days later, when the CCTV footage was widely distributed, so has been sitting as an independent MP since then.
