The public key encryption with keyword Search (PEKS) scheme, proposed by Boneh, Di Crescenzo, Ostrovsky and Persiano, enables one to search for encrypted keywords without compromising the security of the original data. Baek et al. noticed that the original notion of PEKS requires the existence of a secure channel, and they further extended this notion by proposing an efficient secure channel free public key encryption scheme with keyword search in the random oracle model. In this paper, we take one step forward by adopting Baek et al.’s model and propose a new and efficient scheme that does not require any secure channels, and furthermore, its security does not use random oracles.