To prepare poly(lactic acid/glycolic acid/ asparagic acid-co- polyethylene glycol) (PLGA-[ASP-PEG]) and examine the cellular biocompatibility. PLGA-[ASP-PEG] was obtained by bulk ring-opening copolymerization method, examined by infrared spectrometry (IR) and 1H nuclear magnetic resonance spectroscopy (1H NMR). Bone marrow stromal cells(BMSCs) were cultured with PLGA-[ASP-PEG] (experiment gruop) and PLGA (control group) in vitro respectively, and were observed by phase-contrast microscopy and scanning electron microscopy. The resuls showed that PLGA-[ASP-PEG] was obtained and proved by IR and 1H NMR. The BMSCs of the experiment group could well attach to and extend on the surface of the PLGA-[ASP-PEG], and could proliferate and secrete better extracellular matrix, compared with control. The PLGA-[ASP-PEG] has good cellular a biocompatibility. It can be used as a biomaterial for bone tissue engineering.