Question: how many times have the cowboys beat the texans
Answer: Governor 's Cup ( Texas ) Dallas Cowboys Houston Texans First meeting 1965 Latest meeting October 7 , 2018 Texans 19 , Cowboys 16 Next meeting TBA Statistics All - time series Regular season : Cowboys lead Texans , 3 -- 2 Texans lead Cowboys , 8 -- 7 Cowboys lead Oilers , 18 -- 13 Largest victory Cowboys ( over Texans ) : 34 -- 6 ( October 15 , 2006 ) Current win streak Texans : 2 wins