Secure verified-based three-party authentication scheme for data exchange in telecare medicine information systems enables two users only store their verifiers computed from their actual password in authentication server's database. Then the authentication server can verify the users' verifiers and help them to exchange electronic medical records or electronic health records securely and conveniently. This investigation presents an efficient and secure verified-based three-party authentication scheme for data exchange in telecare medicine information systems. The proposed scheme does not use server's public keys and includes the key confirmation without extra numbers of messages and rounds. Compared to related verified-based approaches, the proposed scheme possesses higher security, has lower computational cost and fewer transmissions, and thus is suitable for the telecare medicine information systems.