The Clebsch-Gordan coefficients fortheproducts [4*]⊗[4*], [4*]⊗[20'*] and [4*]⊗[36], required for the calculation of the SU(4) amplitudes of bottom meson decays, are obtained by using the phase convention of Baird and Biedenharn. The results of our calculation are tabulated. Since SUe4) symmetry occurs in many physical system, the coefficients for the above products obtained by us will be useful for further reference.