While the Secure Socket Layer or Transport Layer Security (SSL/TLS) is assumed to provide secure communications over the Internet, many web applications utilize basic or digest authentication of Hyper Text Transport Protocol (HTTP) over SSL/TLS. Namely, in the scheme, there are two different authentication schemes in a session. Since they are separated by a layer, these are not convenient for a web application. Moreover, the scheme may also cause problems in establishing secure communication. Then we provide a scheme of authentication binding between SSL/TLS and HTTP without modifying SSL/TLS protocols and its implementation, and we show the effectiveness of our proposed scheme.