When I urinate and then I try to stop, why does urine continue to leak out?

Here are some... The detail, specifics, & sequence of events in this Q are not enough to tell if you got urge urinary incontinence or dribbling after voiding. To get these things sort out correctly has not to be hard by following instructions as described in http://formefirst.com/eNewsletter06.html; thereby you gain much insight on how to work with doc so to reach right Dx for right Rx & care.