This paper proposes a publicly verifiable delegation model for multi-boolean-function, and gives a construction based on key-policy attribute based encryption (KP-ABE) supporting non-monotonic access structure. In our scheme, any third party could verify the result of the delegation for the boolean-function. Compared to the construction proposed by Parno, our scheme is more efficient, since it can delegate multi-boolean-function after the setup of the system, by binding the inputs to the specific boolean-function .