Small Aircraft
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 60; Flight Crew Total 950; Flight Crew Type 925
Communication Breakdown; Situational Awareness
ATC Issue All Types; Conflict Ground Conflict; Critical
Flight Crew Requested ATC Assistance / Clarification; Flight Crew Took Evasive Action
Human Factors; Procedure
Tower told me I was cleared to land. After landing they wanted to me to taxi off the runway onto an intersecting runway and hold short of another runway. Upon landing and clearing the runway I was on the intersecting runway and tower had someone landing on the runway.  I took evasive action and taxied off the runway. The aircraft landing went around I advised Tower they nearly had a collision on the runway and they responded with 'thanks for your help.' The Tower Controller had several other airplanes in the pattern and must of forgotten he had someone landing on the runway I was on.
GA pilot reported they were on a runway holding short of an intersecting runway when they observed an aircraft about to land on their runway at ISP. They taxied off and advised Tower.