The Uruguay international has finished the season on 40 goals, five ahead of Real Madrid star Cristiano Ronaldo, who claimed the prize last season.
Suarez is the first player to beat either Messi or Ronaldo to the award since compatriot Forlan in the 2008-2009 campaign.
He is also the third player to score 40 goals in a Liga season, with Messi and Ronaldo each achieving the feat three times.
"It's a unique moment to enjoy," he said. "I'm happy with everything.
"For the title, the goals, the happiness we've given to the fans."
Suarez added that he wanted to give thanks to all his team-mates for helping him score 53 goals in all competitions this season.
"Thanks to everyone because without them I couldn't have done it," Suarez said. "Without them, I wouldn't be in this situation.
"I only had to nudge the ball. They looked for me and I'm grateful for it, thanks to everyone once again."
Suarez is also set to claim the European Golden Shoe for the second time in his career, after he shared the award with Ronaldo in 2014.
Suarez and Barcelona now look ahead to next weekend's Copa Del Rey final against cup specialists Sevilla as they seek to win the double, but not without some La Liga celebrations first.
"Now we have to think about the cup, but today it's time to enjoy La Liga," the Uruguay international said.
"It's a competition we've worked for very hard over the year and in the end, we've got our reward."
