Since the facilities for the remote users tend to be deployed in distributed manner, authentication schemes for multi-server communication settings, which provide various web services, are required for real-world applications. A typical way to authenticate a remote user relies on password authentication mostly. However, this method is vulnerable to attacks and inconvenient as the system requires users to maintain different identities and corresponding passwords. On the other hand, the user can make use of a single password for all servers, but she may be exposed to variants of malicious attacks. In this paper, we propose an efficient and secure authentication scheme based on a brokered authentication along with smart-cards in multi-server environment. Further we show that our scheme is secure against possible attacks and analyze its performance with respect to communication and computational cost.