The most sensitive part of any crypto graphical system is ensuring the security of key exchange. Classical crypto graphical algorithms make use of one-way complex mathematical functions, to encode the key. On the other hand, Quantum crypto graphical systems make use of Q-bits or photons to encode the key. These methods are useful to secure the key but they come with a lot of trade-offs. Classical one is complex and requires a lot of mathematical calculations and is easy to use as it does not involve much hardware but with quantum computing on the rise, it is a piece of cake for an eavesdropper to break the key and hamper the security. Quantum Cryptography ensures that safety by not allowing the eavesdropper to access the data without hampering the key. However the hardware requirements make it inaccessible. In this paper a novel algorithm of key exchange that involves the best of both quantum and classical worlds has been proposed. It is called Bi-Symmetric Key Exchange. Simulation result and subsequent performance analysis show the efficiency of this algorithm over existing key exchange algorithms with respect to average computational time for key generation.