Britton (2-0), yielded just four hits and three walks as the Orioles improved to 6-1 and dropped Texas to 6-1 on the young season in the first game of a doubleheader at Camden Yards.
Jason Berken completed the O's shutout with 1 1/3 innings of scoreless relief.
Mark Reynolds socked a three-run homer among his two hits and Nick Markakis added a solo shot for Baltimore.
Colby Lewis (1-1) was tagged for five runs (four earned) on six hits over six innings start for Texas.
Celebrity Families of 2014 [PHOTOS]