Abstract: A unitary bedsheet and cover are provided for applying bedding to a mattress. A mattress encasement surrounds the mattress, much like a pillow case and pillow. A flap is provided to cover the opening in the encasement tuck beneath the mattress. A top sheet is attached along a foot end of the mattress encasement. The unitary bedsheet system may have elastic panels to provide a snug fit of the encasement around the mattress. Once installed the sheets of unitary unit do not move or come untucked and the fitted encasement stays tight to the mattress.