Attribute-based group signature (ABGS) scheme is a kind of group signature scheme where the group members possessing certain privileges (attributes) only are eligible for signing the document. There are ABGS schemes secure under random oracle models, have signature length linear in terms of number of attributes also do not provide attribute anonymity. We have come up with an ABGS scheme, which provides attribute anonymity, has short signature length independent of number of attributes and proven that it is secure under the standard model.