Blake Swihart led the barrage with a 4-for-4 performance with three runs scored, two doubles and two RBIs. Rusney Castillo and Josh Rutledge added two hits each.
Owens allowed four hits and two runs (one earned) while walking one and striking out four. The Red Sox have had four strong starting pitching performances in a row to win four straight, tying their longest winning streak of the season.
Alcides Escobar drilled a solo homer off Owens in the sixth for one of the rare highlights of the night for the Royals, who are 2-10 against the Red Sox since the start of 2014.