Elizabeth Evans, from Bury in Lancashire, filmed a man throwing luggage towards a waiting trailer with such force that several cases fell to the ground instead.
She was waiting to collect her bags after her Ryanair flight from Malaga landed on Thursday morning.
The man in the video and his colleague both work for Swissport, the firm contracted by Ryanair to provide baggage handling services.
Elizabeth's case was returned dented and with part of the protective lining torn.
Swissport have launched an investigation and have described the footage as 'disappointing'.
Manchester Airport and Ryanair have both been in contact with Swissport regarding the incident.
A spokesman for Swissport said: “We are disappointed by the footage circulating on social media, and we apologise for the behaviour of this individual.
“We can confirm we are investigating and will take all steps necessary to ensure this does not happen again.”
A Manchester Airport spokeswoman said: “We are disappointed to see this unacceptable handling of bags by a Swissport employee and have raised this with them directly.”
A Ryanair spokesman told the M.E.N: "We’ve asked our handing agent, Swissport, to take the necessary steps to ensure this does not recur."