The invention discloses a carried molecular sieve catalyst and application thereof in 2,6-naphthalene dicarboxylic acid synthesis, the carrier molecular sieve of the carried molecular sieve catalyst is selected from one of Na-Y type molecular sieve, H-Y type molecular sieve, beta type molecular sieve, USY type molecular sieve and mordenite molecular sieve, the active component of the carried molecular sieve catalyst is zinc or cadmium, the load capacity of the active component is 7 to 10%. In the invention, the carried molecular sieve catalyst is used for the synthesis of 2,6-naphthalene dicarboxylic acid, the synthesis method takes 1,8-naphthalene dicarboxylic acid as raw material, has reasonable process, lower production cost, safety and reliability, high reaction yield, high product purity, no ''three wastes'' (waste gas,waste water and industrial residue), application value and social benefit and economic benefit.