All three Blockbuster stores in Kingston, Tolworth and Surbiton are slated for closure, according to administrator Deloitte.
No dates have been set, with stores set to be assessed according to their sales figures, a spokeswoman said.
A total of 160 branches of the video and games chain are to close nationally, with staff facing redundancy.
Lee Manning, joint administrator, said: “Having reviewed the portfolio with management, the store closure plan is an inevitable consequence of having to restructure the company to a profitable core which is capable of being sold.
"We would like to thank the company’s employees for their support and professionalism during this difficult time.
"We are also grateful to the customers for their continued support."