A container of a pet transporter defines an interior space for a pet. An interior space of the container is defined by a rigid chassis including a platform bounding a bottom of said interior space, a rear panel attached to said chassis and bounding a rear of said interior space, side panels respectively attached to opposite lateral sides of said chassis and bounding sides of said interior space, and a flexible top covering that is releasably fastened, directly or indirectly, to said chassis and which, when fastened thereto, extends in a closed covering position from the rear panel to a front of said chassis thereby bounding a top of said interior space. The chassis further includes a rear support frame and two pairs of side support frames. The platform, rear support frame, and two pair of side support frames comprise a single, inseparable structure.