The key to every security system is the important part as it defines if the system is security strength or weakness. Security has become a key issue in digital data transmission over insecure communication network, which can be accomplished using robust ciphering algorithms. "At the other side, the chaotic systems have excellent features, such as Mixing data, ergodicity, sensitivity to initial conditions, control parameters, etc., all of which are useful for designing cryptographic algorithms with large key size and efficient permutation". The addition of using DNA in cryptography creates a novel domain for three reasons:: storage space, computing power and huge parallelism. "This paper presents a hybrid approach of the chaotic map as well as DNA computation to Text" encryption. Two logistic maps are employed for key generation to be used in permutation process, and 1D logistic map is used for generating index permutation. DNA computation coding rules and addition operation are used to frame the final result of the encryption process to produce encrypted text. The proposal results show that the proposal algorithm is highly secure, resistant to brute force attack. and has a bigger key space.