Lester, a three-time All-Star, listed the home for sale in September after he and outfielder Jonny Gomes were traded by the Red Sox to the Oakland A's for outfielder Yoenis Cespedes in the previous month.
The Colonial-style home, built in 2001, fronts the Charles River on about half an acre with a private dock. The two-story floor plan includes an updated kitchen, dining room, five bedrooms and 4.5 bathrooms in slightly under 3,300 square feet.
Among its features is a completed basement level with living room, wine cellar and workshop. An additional bedroom suite sits above the garage.
Outdoors, a white fence encircles tree-lined grounds containing a covered patio, deck space and large expanses of grass.
The 30-year-old pitcher compiled a 16-11 record with an earned run average of 2.46 in 32 starts for the Red Sox and A's last season. Lester's offer from Boston is reportedly in the ballpark of $110 million to $120 million over six seasons, according to Nick Cafardo of the Boston Globe.
Lester and his wife, Farrah, paid $1.35 million for the property in 2010, records show. Jason Oberle of Weichert Realtors was the listing agent. Charlie McMillan of Hammond Residential Real Estate represented the buyers in the sale.
The couple maintains a 4,500-square-foot home in Atlanta, which they purchased earlier this year for about $3.4 million.