A urostomy drainage appliance is an apparatus that improves upon existing urostomy bag systems. The urostomy drainage appliance accomplishes this through the user of a convex drainage appliance that directs the flow of excreted urine through a set of a drainage stems. The drainage stems divert urine from the convex drainage appliance through an attached drainage hose into a remotely positioned collection bag. The urostomy drainage appliance utilizes particularly positioned drainage stems to allow a user to sleep on their side without restricting urine from flowing into the collection bag. The convex drainage appliance is particularly formed permitting facilitated concealment while worn in public. The urostomy drainage appliance can be flushed using the drainage stems reducing bacterial growth and reducing the frequency the individual replaces the urostomy appliance.