The Texas Rangers become the first American League team in 79 years to pitch consecutive one-hitters as Roger Pavlik holds the Detroit Tigers to a 5th-inning home run in a 3 – 1 win. Ken Hill one-hit Detroit on May 3rd, retiring the last 26 batters he faced.

On May 4, 1996 — The Texas Rangers become the first American League team in 79 years to pitch consecutive one-hitters as Roger Pavlik holds the Detroit Tigers to a 5th-inning home run in a 3 – 1 win. Ken Hill one-hit Detroit on May 3rd, retiring the last 26 batters he faced.

Source:
Baseball Reference May 4