A complex composition characterized by comprising a polymer having repeating units represented by the formula (1) and a metal complex which luminesces in its triplet excited state; and a polymer complex compound characterized by comprising repeating units represented by the formula (1) and a metal complex structure which luminesces in its triplet excited state and by emitting visible light in a solid state. (1) (Ar1 and Ar2 each independently represents a trivalent aromatic hydrocarbon group or trivalent heterocyclic group; Ar3 represents an aromatic hydrocarbon group or heterocyclic group, provided that the ring Ar3 has bonded thereto one or more groups selected from the group consisting of alkyl, alkoxy, alkylthio, alkylsilyl, alkylamino, aryl, aryloxy, arylalkyl, arylalkoxy, arylalkenyl, arylalkynyl, arylamino, monovalent heterocyclic groups, and cyano; and X represents a single bond or connecting group.)