The invention discloses a basic module for building. The basic module for the building comprises a top plate and two side plates which are integrally formed, the two side plates are connected to the top plate to form a concrete portal frame, embedded columns are arranged on the two vertical side edges of the side plates, hidden beams are arranged on the top sides and the bottom sides of the side plates, a plurality of reserved hole channels are formed in at least one side plate, the reserved hole channels comprise horizontal hole channels and vertical hole channels, the multiple horizontal hole channels are horizontally formed in at least one embedded column of the side plates, the multiple vertical hole channels are vertically formed in at least one hidden beam of the side plates, and a corbel support is arranged on the outer side surface, away from the top plate, of the hidden beam of the at least one side plate. According to the basic module for the building and the low-rise and multi-rise modular building structure system, the modular building structure system comprises at least two basic modules, at least one horizontal module and an expansion connecting assembly, wherein thetwo basic modules arranged at intervals are connected together through the horizontal module, the bottom side faces of the two ends of the horizontal module are placed on the corbel support, a plurality of installing grooves are formed in the edges of the two sides of the horizontal module, and the extension connecting assembly are fixed in the installing grooves of the top plate and the installing grooves of the horizontal modules.