The authors present a new technique to realize Attribute-Based Encryption (ABE) schemes secure in the standard model against Chosen-Cipher-text Attacks (CCA-secure). Their approach is to extend certain concrete Chosen-Plaintext Attack secure (CPA-secure) ABE schemes to achieve more efficient constructions than the known generic constructions of CCA-secure ABE schemes. They restrict themselves to the construction of attribute-based Key Encapsulation Mechanisms (KEMs) and present two concrete CCA-secure schemes: a key-policy attribute-based KEM that is based on Goyal’s key-policy ABE and a ciphertext-policy attribute-based KEM that is based on waters’ ciphertext-policy ABE.