Frank Bentley Weeks (January 20, 1854 – October 2, 1935) was an American politician and the 64th Governor of Connecticut.

When George Lilley, who was the Governor of Connecticut at the time, died on April 21, 1909, Weeks assumed the duties of the governorship.

During his term, he followed former Governor's economic policies in an attempt to reduce taxes.

The population of the state of Connecticut grew rapidly with a heavy influx of immigrants and growth in urban areas.

After finishing Governor Lilley's term, he left office on January 4, 1911, and returned to his business activities.