A tendon for prestressed concrete structure comprises a core member such as a steel wire for prestressed concrete structures, a steel strand for prestressed concrete structures or a steel bar for prestressed concrete structures, and an unset bonding material coating the core structure in a predetermined thickness, having a specific setting time determined by selectively determining the respective contents of the ingredient of the bonding material and capable of setting at an ordinary temperature. The tendon is arranged in a desired arrangement for forming a prestressed concrete structure, concrete is placed so as to bury the tendons therein, and then the tendons are tensioned and fixed after the strength of the deposited concrete has increased to a degree to permit tensioning the tendons and before the unset bonding material sets. Thus, the unset bonding material sets after the tendons have been tensioned and fixed to bond the tendons firmly to the prestressed concrete structure.