Drones are the recent advancements in defense applications as they can perform unmanned aerial surveys. The internet of drone (IoD) is an emerging concept in drone/node communication, which has evolved with the 5G oriented networks. Due to the rapid usage of high-speed advanced computing systems and 5G networks, the user data is continuously updated and shared. Therefore, security/privacy is necessary between users and an efficient authentication approach using a robust security key. Existing techniques have several limitations while handling the attack sequences in data transmission over IoD environment systems. A novel elliptic curve cryptographic-based Chebyshev polynomial source authentication schema (ECCCPSAS) is proposed to enable secure data services between users to access information directly from one drone/node authorized access from other drone/user in 5G network systems. Also, use Elliptic curve cryptography for secure authentication to each node to share session key with a similar secure channel to transmit data with interactive computational complexity and secure communication in wireless IoD. The theoretical security-related analysis presented in this paper gives better insight into efficient, secure data transmission with increased quality of service parameters described in wireless IoD environment.