The Winnipeg skip crushed Aileen Sormunen of the United States 10-2 in the early draw before topping Denmark's Lene Neilsen 8-7 at the Tsukisamu Gymnasium. Jones hit a draw to the four-foot with her final throw in the 10th end to improve to 6-1.
"It was a grind from the very beginning, but it's nice getting games like that," said Canada lead Dawn McEwen. "It forces you to have to make more precise shots and winning that way is great. The ice changed and I thought we were really good at believing what it was doing and we obviously had the right weight for the draw to the button.
"I wouldn't want anyone else throwing that shot."
Jones and her team of McEwen, second Jill Officer and third Kaitlyn Lawes were tied with Switzerland's Alina Patz after 11 draws of round-robin play. Canada will play winless Kristin Moen Skaslien of Norway (0-7) on Wednesday before a showcase game against Patz with a berth in the Page Playoff 1-2 game potentially on the line.
In Tuesday's opener, Canada led 5-1 after three ends. The reigning Olympic champion tacked on a deuce in the seventh and three more points in the eighth.
"That's essentially what we're trying to do in every game — go out and make our shots," Officer said. "And I think we did that pretty well today but we continually have to find ways to improve. I think we were aware that we needed to keep our focus and not let up, and I think that was really important that we did that today."
In the late game, Denmark tied the game at four with a single in the fifth end. Canada had a glorious opportunity in the sixth to take control but Jones overcurled her takeout attempt for three and settled for a single.
Denmark counted two in the seventh to take the lead but Canada got the deuce back in the eighth after a nice hit-and-roll from Lawes. That helped set the stage for the Jones game-winner in the 10th.
"It was definitely a grind," said Jones. "I had the opportunity for three in the sixth end and I'm not sure what happened to it, but we missed and I really wanted to make it up to the girls. I felt like I let them down there, so it was nice to make that draw to win."
Russia was alone in third place at 5-2. China, Germany, Japan, Scotland and Sweden were all tied at 4-3.
Round-robin play continues through Thursday night. The top four teams will advance to the Page playoffs.
A Canadian team hasn't won gold at this event since Jones did so in 2008. The five-time national champion made her world championship debut in 2005 and won a silver medal in 2010.
Canada leads all countries with 15 gold medals and 31 podium appearances at the world championship since 1979.
Sweden is next with eight gold and 23 total medals.