A male urine absorption device for discretely absorbing urine related to male incontinence includes a sleeve having a first open for receiving a penis inserted into the sleeve and the second open end for extending a head of the penis through the second end such that the sleeve is positioned over and around a shaft of the penis. A extends from the second end of the sleeve. A coupler couples the flap to the sleeve forming a pocket for receiving and enveloping the head of the penis. An absorbing member is positioned in the pocket for absorbing urine discharged from the penis.