The 26-year-old also recorded a .420 on-base percentage (second in the NL), 18 total bases (tied for third) and a .750 slugging percentage (sixth).
"He deserves it," manager Mike Redmond said. "He was excited. That was a big week for him. To see him get those big hits and really swing the bat, we needed a jump-start, a big spark, and he was a big part of that."
Hechavarria had two straight three-RBI games over the weekend, helping cap a sweep of the visiting Nationals. He hit a three-run homer off Gio Gonzalez on Saturday, then went 2-for-4 with a triple Sunday.
Sunday was Hechavarria's fourth three-RBI game of the season after recording just four before this season. Saturday and Sunday were also his first back-to-back multi-RBI games of his career.
Hechavarria also tied a career high with four hits against the Phillies on Thursday.
Marlins teammate Dee Gordon (.393 average, 11 hits, two stolen bases, .414 on-base percentage) was also recognized by Major League Baseball for his noteworthy performance last week.
Joey Nowak is a reporter for MLB.com. Follow him on Twitter at @joeynowak. This story was not subject to the approval of Major League Baseball or its clubs.