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Let G be a finite group and e be any prime dividing ｜G｜.The blockwise Alperin weight conjecture states that the number of the irreducible Brauer characters in an e-block B of G equals the number of the G-conjugacy classes of e-weights belonging to B.Recently,this conjecture has been reduced to the simple groups,which means that to prove the blockwise Alperin weight conjecture,it suffices to prove that all non-abelian simple groups satisfy the inductive blockwise Alperin weight condition.In this paper,we verify this inductive condition for the finite simple groups PSP4(q) and non-defining characteristic,where q is a power of an odd prime.