Triton's offer of 8 euros per share exceeded a bid of 7 euros announced in November by North Holdings, a Bain Capital-led consortium that had valued Caverion at 955 million euros.

Triton said in a statement on Tuesday it was seeking the support of Caverion's board for its takeover and hoped to complete the deal in the third or fourth quarter.

Caverion's shares rose 17.2% at 0834 GMT to 8.12 euros.

($1 = 0.9314 euros)

(Reporting by Anna Ringstrom, editing by Terje Solsvik)