n this paper, the bond-parateric function and the size-factor X2=R0 proposed by Zhang Bangwei et al. are used to study the solid solubilities on the binary transition metals based alloys.1587 binary alloys are studied and it has been found that the soluble elements and insoluble elements can be separated by a parabola and ellipse two regularities are up to 86. 6 % and 90 %, respectively. Also, the parameters a,b, of parabola and parameters m, n, c and d of ellipse are disscused and it has been found that these parameters are proportional to the suitable parameters of each host metal well.