This paper introduces a new type of parallel computer based on N+1 programs (hereinafter, N+1 computer), as well as its features. A new concept of parallel computing architecture based on N+1 programs is also presented at same time. We studied the essential problems and inherent laws on parallel systems, and analyzed the operate ability, the computability, and the compilability of the system, as well as its generality of this new parallel computing architecture. Finally, an N+1 computer prototype machine was trialed which could be considered to be a new general type of platform on parallel processing studies.