The thief has been active in multiple island neighborhoods.
On Sunday, officials said a man entered a home claiming to be working on a water pipe. The man ended up stealing a purse from the resident.
The city of Galveston is alerting the public to be wary of anyone who approaches them to gain access to their home.
Legitimate city of Galveston workers do not enter private residences. They always carry official identification, wear official uniforms and travel in marked city vehicles.
If something seems suspicious, you can call 409-797-3630 to verify city utility work in your neighborhood.
The suspect in Sunday's theft was described as a thin black man. He was 30-40 years of age and was wearing a baseball cap and work clothes.
The Galveston Police Department is encouraging anyone with information to contact Detective Dion Watson at 409-765-3771.
Officials said this crime is similar to other incidents that occurred in late 2010 involving a man impersonating electric company workers.