Ole Gunnar Solskjaer's third signing is another Norwegian.
The boss has gone back to his former club FC Molde to bring frontman Jo Inge Berget to South Wales.
Berget, 23, has signed a two and a half year contract.
Solskjaer said on Friday: "I'm delighted to welcome Jo to the club. He went through his medical last night and signed his contract this morning. He's a forward and a full Norwegian international and arrives on a very good deal for us. He knows the way I want to play, he's a secondary front man and is a very strong and intelligent footballer. He'll do well for us."
Magnus Wolff Eikrem and Mats Moller Daehli are already at the club with Eikrem coming off the bench in City's last two Premier League games.
Solskjaer has backed his three fellow countrymen to be a success in the Premier League..
"We are talking about three full internationals I have brought in for a very cheap price compared to what they give us," he said. "They are long-term value for money. They haven't played in the Premier League but they are all full internationals and I know them because I have had them before. I know their personalities."