Entering Wednesday, they also lead the Majors with a .313 batting average in June which is currently the fourth-best mark for a single month in franchise history.
Now the key, according to Rangers manager Ron Washington, is to keep that momentum going into July and beyond.
"If I had the formula it'd be awesome, but we don't have a formula," Washington said. "Everyone in the lineup just has to continue to their job and can't try to do someone else's job and that's the bottom line. Consistency -- that's what it is."
But while the offense has helped carry the load, Washington has been even more impressed with his pitching staff, which has a 3.38 ERA in June, second only to the Padres.
"I knew we had offense," Washington said. "I've seen guys do that before so it's not a big deal. But to maintain stability you have to pitch every night and catch the ball."