Abstract: A pet carrier for safely transporting pets in a vehicle includes a basket having a floor and surrounding containment walls and a support assembly for mounting the carrier to a passenger seat of the vehicle so that pets restrained within the basket can easily view the outer surroundings through the vehicle's windows. The support assembly includes a pair of rear arm members movably adjustable to assume a select one of several locked, operable positions with a hooked distal end zone of the arm members resting over the top of the seat back to maintain the basket forward of the seat back, and a removable forward leg support depending below the basket for engagement with the seat base to thereby maintain the basket floor generally horizontal and above the seat base. Collapsible handles permit hand carrying of the carrier and pets therein when the carrier is removed from the vehicle and an adjustable strap in the basket attaches to the pet to restrain the pet within the carrier.