There were no reports of injuries or damage.
The earthquake struck at 11:31 a.m. CST Sunday about 2 miles from Azle, which is northwest of Fort Worth.
A 2.1-magnitude quake had rattled the area Tuesday, the Dallas Morning News reported.
More than 20 earthquakes have hit the region since Nov. 1. The strongest was a 3.7-magnitude quake Dec. 9 just north of Mineral Wells, the newspaper said.