DNA cryptography is a relatively new paradigm that has attracted great interest in the field of information security. Although there are many problems in DNA cryptography, scientists are trying to solve them because they believe that, with the extraordinary information density and the vast parallelism that are inherent in DNA computers, it is possible to make a secure system. In this study, we primarily focus on modern cryptography, which is based on quantum and DNA cryptography. Furthermore, a novel method to encrypt data by using DNA-based cryptography is discussed. In our study, DNA coding technology is used to convert binary data to DNA strings. Finally, the proposed DNA cryptography algorithm's strength is evaluated based on the properties of DNA strands and probability theories.