With the increasing usage of internet all over the world, it becomes extremely necessary to encrypt the data that needs to be transmitted across the network. Over the years many such algorithms has been developed to encrypt the plain text in order to provide security to the data that is in transit. There are two methods of sending such data using the Asymmetric and Symmetric key cryptography. The author of this paper has highlighted the difference between the two encryption algorithms and further concluded that Asymmetric key cipher technique is way more secure compared to that of the symmetric key cipher technique. The author has also compared two prominent public key cryptography algorithms namely RSA algorithm and Diffie-Hellman algorithm and concluded that each such algorithms has its importance on particular context and each one holds the advantage over the other in specific context.