Bell (0-2) was pitching in relief of David Wells, who tossed eight strong innings, surrendering seven hits and one run while striking out five.
Griffey's homer was the 571st of his career, bringing him just two home runs shy of Harmon Killebrew for eighth on the all-time homer list.
David Weathers threw three innings in relief to improve to 1-2.
Reds starter Aaron Harang gave up one run on two hits over nine innings in the no-decision, striking out seven and walking four.
Celebrity Breakups and divorces of 2014 [PHOTOS]