A circuit-connecting material which is interposed between circuit electrodes facing each other and electrically connects the electrodes in the pressing direction by pressing the facing electrodes against each other; the circuit-connecting material comprising as essential components (1) a curing agent capable of generating free radicals upon heating, (2) a hydroxyl-group-containing resin having a molecular weight of 10,000 or more and (3) a radical-polymerizable substance. Also provided are a circuit terminal connected structure and a circuit terminal connecting method which make use of such a material.