Ivan Rakitic also scored for the Catalan club, which moved 11 points ahead of Atletico Madrid at the start of La Liga's second half.
After 20 rounds, Barcelona has a 14-point lead over third-placed Valencia, and is 19 points in front of rival Real Madrid, which has a game in hand.
"There are 18 games left, that's a lot," Barcelona coach Ernesto Valverde said.
"But with each win we will be taking a big step toward the title."
Messi's second goal in the 80th was one to admire, with the Argentine entering the area and going past two defenders before calmly finding the net.
Suarez closed the scoring just before the end, reaching his 100th goal in 114 matches with Barcelona.
"After the first goal we were able to play more openly," Valverde said.
Messi, who has scored seven goals in his last six games, leads the league with 19 goals, four more than Suarez. The Uruguay striker has scored at least a goal in seven consecutive league games. He has 10 goals in his last eight matches in all competitions.
Betis, which dropped to 11th place, was coming off two straight wins, one of them at city rival Sevilla.
Barcelona defender Thomas Vermaelen came off with an apparent muscle injury before halftime. He was replaced by France international Samuel Umtiti, who returned after a long injury layoff.
On Saturday, Atletico was held to a 1-1 home draw against Girona, while Valencia lost 2-1 at Las Palmas. Real Madrid routed Deportivo La Coruna 7-1 at Santiago Bernabeu Stadium on Sunday, with Cristiano Ronaldo and Gareth Bale scoring two goals each.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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