In this paper, the use of a random seed is integrated to Affine cipher. The random seed is used to generate unique keystream values that dynamically changes the cipher's additive key for every character encrypted. The modification enables the cipher algorithm to produce ciphertext with no trace of repetitive character despite the advent of repetition of characters in the plaintext. Simulation results revealed that the proposed method produces more randomize ciphertext characters as against the traditional Affine cipher. The new method enhances the cipher's capability and complexity in masking plaintext which has paved the way to a more secure and dynamic data encryption.