My penis feels like its leaking even an hour or so after urination?

Get evaluated. Dribbling a little urine after voiding is common—some urine remains in the urethra after it leaves the bladder—but persistent dribbling should be evaluated by a urologist. The first part of the evaluation should be a voiding diary that quantifies how much you drink, how much and when you void, and when you experience leakage. Based on this information, further studies may identify a cause.