In Computer Gaming World, Buddy Knight wrote, "All things taken together, Overrun! gives you your money's worth. I would heartily recommend buying a copy." Erik Olson of Compute!'s Gazette was similarly positive toward the game: he dubbed it "possibly the most complex war game available for the 64" and "an excellent simulation". Zzap!s Robin Hogg wrote that it "lips up in the possibilities of modern combat but despite this an extensive and very comprehensive wargame."