The invention relates to a synthesis method of a low-silicon nano SAPO-34 molecular sieve, which comprises the following steps: sequentially mixing a silicon source, an aluminum source, a template agent R, deionized water and a phosphorus source to obtain a gel mixture; placing the gel mixture in a stainless steel high-pressure reaction kettle of which the liner is made of polytetrafluoroethylene, sealing, putting into a drying oven, and performing primary traditional hydrothermal crystallization; adding a dispersant agent S into the primary traditional hydrothermal crystallization solution, stirring for 0.5-4 hours, transferring into the reaction kettle of which the liner is made of polytetrafluoroethylene, sealing, putting into a microwave reactor, and performing secondary microwave hydrothermal crystallization; and washing, drying, and roasting to obtain the nano SAPO-34 molecular sieve. Compared with the prior art, the invention greatly lowers the crystallization temperature and shortens the time of the whole synthesis process. The nano molecular sieve can be widely used for conversion, separation and absorption of hydrocarbons, and especially has the advantages of high conversion rate, high low-carbon alkene selectivity, low carbon deposition rate, long reaction life and the like in the process of preparing alkene from methanol.