He took a cross-ice pass from Zach Werenski and scored with a one-timer from above the right face-off circle.
Jet Greaves made 29 saves for the Blue Jackets (3-3-0), who had lost two in a row.
Dylan Garand made 29 saves for the Rangers (6-3-1), who lost their second straight.
Each team was coming off a one-sided loss; the Rangers fell 7-1 at the New Jersey Devils on Thursday, and the Blue Jackets lost 7-3 to the Florida Panthers on Tuesday.
After tying a team record by allowing four power-play goals at home against the Panthers, the Blue Jackets were 3-for-3 on the penalty kill, all in the third period.
The Rangers also were 3-for-3 and are 29-for-31 (93.5 percent) on the kill for the season.
