We propose the concept of access structure with transfer property

and suggest a general method of constructing secret sharing schemes with this kind of access structures.Our method is simple and practical.Even if a participant is contained in many minimal authorized subsets he needs not to keep more than one secret shares for sharing one secret.There is no need for a participant to keep extra secret data when multiple secrets are to be shared.So our method has advantages over many others.An example is given to show concretely how to construct secret sharing schemes with such access structures.