A synthetic method of an SSZ-13 zeolite molecular sieve is disclosed. The method includes preparing SSZ-13 crystals under crystallization conditions from raw materials comprising an oxide of at least one quadrivalent element or a quadrivalent element mixture, an oxide of at least one trivalent element and a trivalent element mixture, at least one alkali metal compound, N,N,N-trimethyl-1,3,5,7-tetraazatricyclo[3.3.1.1]decane-2-ammonium hydroxide or a mixture of the N,N,N-trimethyl-1,3,5,7-tetraazatricyclo[3.3.1.1]decane-2-ammonium hydroxide and the SSZ-13 molecular sieve crystal seeds, hydroxyl ions and water. The method is a method of synthesizing the SSZ-13 molecular sieve by adopting a novel and cheap template. The method avoids adoption of traditional expensive N,N,N-trimethyladamantan-1-ammonium cations or benzyl trimethyl quaternary ammonium cations as templates to synthesize the SSZ-13 molecular sieve, thus significantly reducing the cost of synthesizing the SSZ-13 zeolite molecular sieve.