The 36-year-old right-hander went 4-3 with a 2.57 ERA in 61 appearances in his first season with the Rangers. Opponents hit a career-low .203 against him.
Over his final 41 appearances since June, Frasor allowed eight earned runs over 35 innings, a 2.06 ERA.
The 10-year major league veteran is 30-34 with a 3.67 ERA in 586 career appearances, all in relief. He agreed to a $1.5 million deal with the Rangers in January after spending nine seasons in Toronto, except for the end of the 2011 season with the Chicago White Sox. He earned $400,000 in performance bonuses based on games.
Frasor's deal was announced Friday.
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- Jason Frasor