One private sector tenant in 50, nationwide, claimed he or she was evicted because of a complaint to a landlord about a matter not the tenant's responsibility, said the London-based charity, which deals with homelessness and inadequate housing in England and Scotland.
The figure equates to 213,000 cases.
A survey in Britain by Internet pollster YouGov said one in 12 renters has avoided asking a landlord to repair a problem in the past year for fear of eviction.
The Daily Telegraph cited examples of the evictions Wednesday, including a family in Norfolk evicted three weeks after they informed their landlord of a mold problem in their residence, and a couple in Brighton who said they were evicted weeks after complaining of a broken thermostat, and mold and dampness affecting their health.
Survey research was commissioned by Shelter and the utility company British Gas in a partnership to improve conditions in privately rented homes.