The defensive back picked off Cleveland quarterback Chris Hogan twice, including an 82-yard interception return for a touchdown.
His two interceptions also put him at 14 picks as a Texan, which is now the most in franchise history.
Joseph also notched three total tackles, including one for a loss, and three defended passes.
Joseph's award is the 40th such weekly honor for the Texans. Earlier this season, rookie quarterback Deshaun Watson was the AFC offensive player after week 4.
RELATED: Texans rookie QB Deshaun Watson named AFC offensive player of the week
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