Cramer-Shoup was the first practical adaptive CCA-secure public key encryption scheme. We propose a faster version of this encryption scheme, called Fast Cramer-Shoup. We show empirically and theoretically that our scheme is faster than three versions proposed by Cramer-Shoup in 1998. We observe an average gain of 60% for the decryption algorithm. We prove the IND-CCA2 security of our scheme. The proof only relies on intractability assumptions like DDH.