In the IoT scenario, things at the edge can create significantly large amounts of data. Fog Computing has recently emerged as the paradigm to address the needs of edge computing in the Internet of Things (IoT) and Industrial Internet of Things (IIoT) applications. In a Fog Computing environment, much of the processing would take place closer to the edge in a router device, rather than having to be transmitted to the Fog. Authentication is an important issue for the security of fog computing since services are offered to massive-scale end users by front fog nodes.Fog computing faces new security and privacy challenges besides those inherited from cloud computing. Authentication helps to ensure and confirms a user's identity. The existing traditional password authentication does not provide enough security for the data and there have been instances when the password-based authentication has been manipulated to gain access into the data. Since the conventional methods such as passwords do not serve the purpose of data security, research worksare focused on biometric user authentication in fog computing environment. In this paper, we present biometric smartcard authentication to protect the fog computing environment.