The technique of smooth connections between quartic Bzier curves with shape parameters and cubic H-Bzier curves is investigated. Based on a study of their basis functions, endpoint properties and shape analysis, the 12 , GG continuous connection conditions between quartic Bzier curves with shape parameters and cubic H-Bzier curves are presented. Experimental examples show that using the technique of smooth connections between these curves, we can take the advantages of these curves sufficiently and solve the problems of complex curves and surfaces modeling better.