Pedersen has spent the past three years at Vitesse but has not quite managed to hold down a regular first-team spot and has previously been sent out on loan spells to Valerenga and Odense.
The 23-year-old has now made the move to Oakwell and he is relishing the prospect of playing in the Championship.
"I'm really pleased to be here and I am looking forward to it. I have always wanted to play in England," he told the club's official website.
"I think the game here will suit me. I am impressed with the people and the set-up at Barnsley.
"I like it when a manager looks at each person as an individual and in David Flitcroft I can see he is that type of person. It was good to meet him today and I feel very happy with the decision to come here."
Pedersen is determined to make an impact for Barnsley and has told the club's fans what they can expect to see from him this season.
"First and foremost I am a striker, I like to get in the box and attack the ball and I like to score goals," he said.
"I always try to improve my scoring ratio and hopefully I'll be able to do that here at Barnsley.
"I'm looking forward to playing here at Oakwell and in the Championship. There are some very big clubs in the Championship and it's a good league to be in. Barnsley create a lot of chances so hopefully I will be the last one on the ball to score a lot of goals."