Due to its prominent facility to hide colossal datasets with a high calibre of randomness and subsequent protection, the famous genomic Deoxyribonucleic Acid (DNA) has been presented as a hiding medium, known as DNA steganography. An incipient information-securing technique using the organic DNA structure called DNA Computing was introduced. In this paper, cryptosystem based DNA computation and Morse code cipher is proposed to bulwark the delicate knowledge within the demanding environment. The plaintext is changed over to DNA sequences utilising the encoding table. The encoded information is actually transcribed and translated by the Ribonucleic Acid (RNA) arrangements. Translated RNA is stego by the standard genetic code utilising organic compounds, and the stego DNA is ciphered by Morse code pattern. Avalanche Effect achieves 96.86% bits of average changes occurred in ciphertext. Therefore, the proposed cryptosystem shows strong randomisation and provides complex mapping between plaintext and ciphertext. Also, the designed bio explores analysis and results shows that the security of the transmission is high, and it preserves the biological process.