The invention relates to a method of synthesizing a NaY molecular sieve and the synthesized NaY molecular sieve. The method includes following steps: a step of synthesizing a directing agent, namely a step of subjecting a silicon source and NaOH to mixing pretreatment, adding water and an aluminum source, mixing uniformly and ageing to obtain the directing agent, with the mole ratio of Na2O, Al2O3, SiO2 and H2O being 15-25:1:10-30:250-450; a step of preparing reactive gel, namely a step of adding a solid silicon source into a NaOH solution, pretreating to prepare hydrous silica gel, adding an aluminum source, mixing uniformly, adding the directing agent, stirring and mixing uniformly to obtain flow type solid-like reactive gel, with the total adding mole ratio of the Na2O, the Al2O3, the SiO2 and the H2O being 2-6:1:5.5-10.5:50-150; and a step of crystallizing, performing suction filtration and drying, namely a step of crystallizing the prepared solid-like reactive gel, filtering after crystallization is finished, washing and drying to obtain a product.