The 2019–20 Austin Peay Governors basketball team represented Austin Peay State University in the 2019–20 NCAA Division I men's basketball season. The Governors, led by third-year head coach Matt Figger, played their home games at the Dunn Center in Clarksville, Tennessee as members of the Ohio Valley Conference. They finished the season 21–12, 14–4 in OVC play to finish in third place. They defeated Eastern Illinois in the quarterfinals of the OVC tournament to advance to the semifinals where they lost to Murray State. With 21 wins, they were a candidate for postseason play. However, all postseason tournaments were cancelled amid the COVID-19 pandemic.