We present a new variant of Attribute based encryption (ABE) called Dual-Policy ABE. Basically, it is a conjunctively combined scheme between Key-Policy and Ciphertext-Policy ABE, the only two previous types of ABE. Dual-Policy ABE allows simultaneously two access control mechanisms over encrypted data: one involves policies over objective attributes ascribed to data and the other involves policies over subjective attributes ascribed to user credentials. The previous two types of ABE can only allow either functionality above one at a time.