The 36-year-old slugger was tops in the AL with a .957 slugging percentage and 22 total bases, while also tied for first in batting average (.435, 10-for-23), home runs (three) and hits (10). He finished the week tied for third in on-base percentage (.500).
It is the fifth career Player of the Week honor for Konerko (most recently on April 10 last year), who joins teammate Phil Humber -- who won the award last week -- as honorees this season.
Konerko hit his first homer of the week last Monday, helping Chicago to its fourth consecutive win. He hit the 400th homer of his career in the ninth inning of Chicago's 5-4 extra-inning loss on Wednesday.
He became the fourth player in franchise history to hit a milestone homer of at least 400 (Frank Thomas, Jim Thome, Andruw Jones). He also joined Luke Appling, Nellie Fox, Thomas and Eddie Collins as the only White Sox players to amass 2,000 career hits with Chicago. Konerko tallied his fourth straight multihit game on Saturday against Boston.
Entering Monday's action, the White Sox slugger was tied for second in the AL this season in doubles (nine), third in slugging percentage (.678), tied for third in on-base percentage (.444) and fourth in batting average (.383) and hits (31).