A fitted double sheet for beds having upper and lower sheets notched and sewn together at their foot ends to provide doubled box corners cooperating with single box corners at the head end of the lower sheet to keep the unit in place on the bed. The side portions of the upper sheet are sewn only part way into the doubled box corners so that the side portions can hang free and not impose restrictions on the feet of the user. Elastic strips are provided for keeping the bottom sheet snug on the mattress and such strips are enclosed in fabric pockets running along the joinder between the foot ends of the upper and lower sheets.