Messi scored from close range in the 36th minute following a difficult first half for Barcelona, who tested by the Argentine Club’s intensity.
Suarez added to his semifinal hat trick against China’s Guangzhou Evergrande, scoring in the 49th minute after running onto a fine through ball from Sergio Busquets.
The Uruguayan sealed their third world title by heading home across from Neymar, who overcame a recent groin injury.
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The title added to their La Liga, Copa Del Rey, Champions League and Uefa Super Cup successes, capping a triumphant 2015 for the Catalan club.
Speaking in a post-match interview after the game, Suarez who picked up the player of the tournament and golden boot award for his five goals said: “We came here to win the title and it was important to get the job done.
“I felt very strong with Neymar and Messi and we were able to win quite easily.
“We stayed calm and played our game until Leo scored the first goal. More than my goals, it was just important to get our hands on the trophy.”
Barcelona become the first team to win the trophy three times, surpassing the two titles won by Corinthians.
In the third place match played early Sunday, Japan’s Sanfrecce Hiroshima came from behind to defeat Chinese rivals Guangzhou 2-1.