RedactedNarrative: Call came over channel 16 VHF of a vessel taking on water in Government Cut channel.  Upon arrival sea tow and City of Miami Fire Rescue was on scene pumping out the water from the vessel.  The owner stated he was heading inbound through the cut at the same time a cruise ship was heading outbound.  The Captain of the vessel was forced out the channel by the cruise ship when he struck an underwater object that caused the prop shaft to dislodge and caused the vessel to take on water. The amount of water which was entering the vessel overwhelmed the bilge pump system.  There were 5 passengers on board and none were injured. The damage caused was to the engine compartment, the transmission, and to the bottom of the vessel.