A flexible package for containing and dispensing sheet products, such as facial tissues, premoistened wet wipes, and the like is disclosed. The package comprise a single, unitary piece of polymer film formed to define a pocket having a back face, a front face, two opposing longitudinal edges formed by a fold. Two sealed regions are disposed near two opposing side edges, and a flexible flap is hingedly rotatable from a first closed position generally about one of the longitudinal edges, the flap covering at least a portion of the front face when in the first position. The flap has opposing side edges substantially coincident to and sealed at the sealed regions. The flap has a transverse centerline and at least one line of weakness disposed on either side of the centerline inboard of the side edges, the lines of weakness allowing a portion of the flap to be frangibly fixed in the first position. The flexible package preferably comprises a heat-sealable polymer, for example, polyethylene. A dispensing opening, for example on the front face of the pocket portion, allows dispensing of individual sheets of the stack of sheet products. A method of forming the package of the present invention is also disclosed. The method steps comprises providing a substantially rectangular flexible polymer sheet of suitable size, the sheet having first and second opposing sides defining a first dimension and third and fourth opposing sides defining a second dimension. Two lines of weakness are formed, each the lines of weakness extending generally orthogonal from the first side, in the direction of the second side. A stack of the sheet products is placed on the polymer sheet, the sheet products being substantially centrally disposed with respect to the first and second short sides. A first portion of the polymer sheet is folded such that the fourth side is disposed approximately parallel to the third side and approximately one-third the length from the third side thereby forming a pocket region containing the stack of sheet products. A second portion of the polymer sheet is folded such that the third side is disposed approximately parallel to the fourth side to form a tri-folded package having first and second opposing side edges. A portion of the tri-folded polymer sheet is then bonded near the first and second opposing side edges.