The 24-year-old will officially complete an £8.5million switch from Sporting Lisbon on July 1, after his return from international duty with Holland.
Van Wolfswinkel netted 15 goals last season, including a brace in his final appearance for Sporting.
Norwich struggled to find the net over the second half of last season - before eventually scoring four against West Brom and then three in the win at Manchester City to pull clear of the relegation zone and finish a creditable 11th.
Van Wolfswinkel feels his added firepower can make sure Chris Hughton's men, who went through an unbeaten 10-match run from the end of October, can start to look up the table with confidence.
"I am sure I can help take Norwich to that next level now," Van Wolfswinkel said. "There is already a great team there and I hope I can add to that.
"I will love working with the team and the coach and I see a very good future for us all - for me and for Norwich.
"The Premier League is always a place I have wanted to test myself. For me Norwich is the perfect club and the perfect place to be."
He added: "Like every coach wants when they bring in a striker, he (Hughton) wants goals. Simple.
"He knows my qualities and said to me, 'just use them and you will score goals which will be really important for the team'."