A pouch has an elongate closure mechanism adapted to provide vacuum retention within an interior of the pouch over an extended period of time when sealed. The closure mechanism includes a first pair of interlocking members that resealably mate together, a second pair of interlocking members that resealably mate together, and a pair of sealing members that form an air tight seal separate from the interlocking members disposed between the first and second pairs of interlocking members. The closure members are connected with opposing panels of the pouch in a manner designed to provide differential opening and closing forces. The pouch may include a check valve and air evacuation channels to aid in evacuating air from the interior.