Midfielder Dario Rivero added the third early in the second half for Boca, who remain unbeaten after 27 matches going back to last season and have conceded only four goals in 17 matches in the Apertura championship.
Second-placed Racing Club were 11 points behind after Saturday's 2-0 win at Colon in Santa Fe and third-placed Tigre were 12 adrift before their match at San Lorenzo on Monday.
The win sealed Boca's 24th league title since the Argentine game went professional in 1931. It was their eighth since the introduction of two championships per season in 1991 and first since 2008.
Cvitanich volleyed his and Boca's second just before the interval and Rivero caught Lucchetti, who played for Boca last season, wrong-footed with a dipping shot from outside the box a minute into the second half.
"I promised [the fans] a championship and we delivered. I keep my word," Riquelme said in an on-pitch interview.
Boca coach Julio Cesar Falcioni won his second Argentine league title having won his first in charge of Sunday's opponents Banfield at the same venue two years ago.
The match was the last in the career of Hector Baldassi, Argentina's top referee who officiated at last year's World Cup finals in South Africa.
