In a sender-initiated load sharing algorithms, sender(overloaded processor) continues to send unnecessary request messages for load transfer until receiver(underloaded processor) is found while the system load is heavy. Therefore, it yields many problems such as low CPU utilization and system throughput because of inefficient inter-processor communications until the sender receives an accept message from the receiver in this environment. This paper presents an approach based on genetic algorithm(GA) for dynamic load sharing in heterogeneous distributed systems. In this scheme the processors to which the requests are sent off is determined by the proposed GA to decrease unnecessary request messages.