There is provided a therapeutic medical compression garment with an integrally knit anti-slip portion. The anti-slip portion of the garment is located in the upper area thereof. In the embodiment wherein the garment is a stocking, the anti-slip portion is placed in the thigh area of the thigh-hi stocking or the upper calf area of the knee-hi stocking. In the thigh-hi stockings, the anti-slip section may start just above the knee or be located in the upper thigh area (for use in mobilized patients, the anti-slip section may start already just above) the ankle area, e.g., also in knee-hi stockings at the calves upwards.