That's a nice raise from his 2017 salary of $573,300.
Right-hander Shelby Miller asked the team for $4.9 million while the club offered $4.7 million as they exchanged figures.
Lefty starter Robbie Ray and right-hander Taijuan Walker also reached one-year deals Friday, along with left-handed reliever Andrew Chafin for $1,195,000; right-hander Brian Boxberger at $1.85 million; outfielder David Peralta for $3.3 million and infielder/outfielder Chris Owings at $3.4 million up from his $2.3 million in 2017.
Lamb was a significant player in the lineup of the team that earned the top spot in the NL wild-card race last year. He is a slugging, left-handed hitting third baseman who hit 30 home runs with 105 RBIs.
Ray, who will make $3.95 million, was 15-5 with a 2.89 ERA. The 26-year-old struck out 218 in 162 innings. Walker will earn $4,825,000 after he went 9-9 with a 3.49 ERA.
Chafin was the No. 1 lefty out of the bullpen. His 71 appearances were more than other Arizona pitcher. Boxberger, who agreed to a $1.8 million deal, is a former closer who had an American League-best 41 saves in 2015 has been bother by injuries the past two seasons. He was acquired in a trade with Tampa Bay.
Left-hander Patrick Corbin agreed to a $7.5 million, one-year contract Thursday.