Cleveland's Brayan Rocchio and Tyler Freeman each had an RBI single and scored a run.
Bieber (6-6) allowed five hits and struck out seven batters to secure his first win since June 11.
Cincinnati's Jonathan India had an RBI double among his two hits and scored twice.
Tena's RBI single plated Rocchio in the fourth inning before Cincinnati finally got to Bieber in the sixth.
Nick Martini had a double to lead off the eighth inning and scored on India's double to left field.
Persons:
Terry Francona, David Richard, Shane Bieber, Cleveland's Brayan Rocchio, Tyler Freeman, Josh Naylor, Jose Tena, Bieber, Emmanuel Clase, Cincinnati's Jonathan India, TJ Friedl, Ramon Laureano, Andrew Abbott, Freeman didn't, Steven Kwan, Abbott, Nick Martini, Spencer Steer's groundout
Organizations:
Cleveland, Cincinnati Reds, Progressive, Cleveland Guardians, Guardians, Reds, Cubs, Marlins, National League, Atlanta Braves, New York Mets, Cincinnati, India, Thomson
Locations:
Cleveland , Ohio, USA, Miami, India