This paper proposed attribute-based signeryption(ABSC) scheme.By introducing the idea of signeryption

attribute-based eneryption(ABE) was improved to attribute-based signeryption

which can complete eneryption and signature with the cost of once encryption

or to complete the mutual authention and signature with the cost of once eneryption

or to complete the mutual authentication with the cost of once signature.Through constructing the access structure on vector space

ABSC breaks the threshold limit.And based on the discrete logarithm problem

the verification algorithm was designed so that the deceptions from the internal participants can be found.