Ross Hunter hadn't yet completely graduated to glossy, star-studded soap operas when he produced the taut crime meller Naked Alibi. Chief of detectives Joseph E. Conroy (Sterling Hayden) is busted after failing to prove that "solid citizen" Al Willis (Gene Barry) is a maniacal cop-killer. Despite his lack of authority, Conroy puts so much heat on Willis that the latter skips town with his floozy lady friend Marianna (Gloria Grahame). Conroy follows the two fugitives to a wide-open border town, then slowly and methodically maps out the villain's doom. Essentially a cat-and-mouse game for most of its running time, Naked Alibi slowly but surely builds up to a nailbiting rooftop-chase climax.
~ Hal Erickson, All Movie Guide