In this paper

the termination(almost termination)of generalized quantum loop program(for short GQLoop)is firstly investigated

where the loop bodies of GQLoop are described by bit flip channel

depolarizing channel

amplitude damping channel and phase damping channel

respectively.Secondly

when the loop bodies are the embedding of two kinds of GQLoop

the conditions of the termination(almost termination)of GQLoop are addressed.It shows that the conditions of the termination(almost termination)of GQLoop depend on the parameters occuring in the quantum channels.Finally

when the loop bodies are an unitary operation on the principle system and the environment under the open quantum system

after implementing unitary operation

the computed processing of the quantum program is discussed by performing a partial trace over the environment.