The invention discloses a synthesis method of an SAPO-34 molecular sieve with a large specific surface area. The synthesis method comprises the steps as follows: (1) an aluminum source and water are mixed and pulped, tetraethylammonium hydroxide is added, the mixture is stirred, and a solution A is formed; (2) phosphoric acid, acidic silica sol and water are mixed to form a solution B; (3) the solution A and the solution B are subjected to parallel mixing, a mixed solution formed through parallel mixing is stirred in real time, the pH of the system is adjusted to 5.5-7.5, stirring is performed, and gel is obtained; (4) the gel is dewatered and dried, and a precursor is obtained; (5) the precursor is ground, the ground precursor is placed at the upper part of a reaction kettle, water is putin the lower part of the reaction kettle, and crystallization is performed; and (6) filtration is performed, filter residues are dried and calcined, and the SAPO-34 molecular sieve is synthesized. The prepared SAPO-34 molecular sieve is formed by polymerization of crystal grains of 50-200 nm, has the larger specific surface area and higher mesoporous capacity, contributes to quick access of reaction substances into pores and can improve the catalytic activity.