An attribute-based signature is an extension of an identity-based signature,which has significant advantages over an identity-based signature.At first,we construct a leveled attribute-based fully homomorphic signature scheme supporting threshold access policy by using the building technique of Gorbunov-Vaikuntanathan-Wichs leveled fully homomorphic signature scheme over lattices.We then demonstrate that the proposed scheme achieves strong unforgeability under a selectively chosen message attack,grounded in the hardness of the Small Integer Solution(SIS)problem within the standard model.Finally,we provide the constructed scheme's parameter setting and performance analysis.