Small Transport; Low Wing; 2 Turbojet Eng
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 1.8
ATC Issue All Types; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Landing Without Clearance
Human Factors; Procedure
While working radar approach I pointed Aircraft X out to RSW tower so Aircraft X can descend into FMY airport.  Aircraft X reported FMY airport insight.  I cleared him for the visual approach into FMY.  He cancelled his IFR and told him that the RSW tower is watching him fly through to his destination.  I accomplished other approach duties such as strip management and Class C service.  RSW tower called me and told me that the Aircraft X just landed on RSW runway 24 without clearance.Aside from asking the pilot if he's 'sure you have the correct airport insight' I'm not sure what else could be done.
A Fort Myers (RSW) Approach Controller reports of an aircraft going to land at one airport; but instead lands at another airport. This happens under the Approach Controller's jurisdiction.