The invention relates to an SAPO-34 / ZSM-5 composite 
molecular sieve and a synthesis method of the composite 
molecular sieve, solving the problems of single 
pore diameter, low acidity and low reaction activity of the porous materials which are synthesized by the prior art. The synthesis method of the composite 
molecular sieve comprises the following steps: firstly mixing a 
silicon source, an aluminum source, a 
phosphorus source and an organic template agent according to a certain ratio, then adding a certain quantity of ZSM-5 molecular sieves, uniformly mixing and carrying out hydrothermal 
crystallization, and synthesizing the SAPO-34 / ZSM-5 composite molecular 
sieve by controlling 
nucleation and 
crystal growth conditions, wherein the composite 
molecular size is adjustable in ratio of two phases; an XRD 
diffraction spectrum of the composite 
molecular size has a maximum d interval at the positions of 7.92+ / -0.1, 8.79+ / -0.1, 9.52+ / -0.1, 12.85+ / -0.1, 16.00+ / -0.1, 20.56+ / -0.1, 23.01+ / -0.05, 23.24+ / -0.05, 23.86+ / -0.05, 25.83+ / -0.1, 30.55+ / -0.1 and 31.32+ / -0.1. The composite molecular 
sieve can be applied to industrial production for preparing 
aromatic hydrocarbon by reacting methyl 
alcohol / 
dimethyl ether.