Chicharito bagged his 50th goal in global play on a counter-attack led by breakout star Hirving Lozano - but Mexico was only able to score because referee Milorad Mazic allowed play to continue after Hector Herrera fouled Ki Sung-yueng to gain possession.
The game became more open in the second half as South Korea perhaps pushed too hard too soon, and it was little surprise when Mexico doubled their lead.
Carlos Vela got the Mexicans on their way at the Rostov Arena with a 26th-minute penalty, before Javier Hernandez wrapped up the three points with a second six minutes after the hour mark.
Standing in Mexico's way is a South Korea side that was stifled by Sweden and fell 1-0 on a VAR-ruled penalty kick.
The Mexicans knew a win would take them to the top of Group F ahead of Sweden who have three points, and they did themselves lots of good by winning the game.
South Korea will face off with GermanyMexico in Kazan at the same time. Carlos Vela made no mistake from the spot, sending Cho Hyun-woo the wrong way.
Kane basks in World Cup rout
Balague immediately got destroyed by England fans, with over 1,300 fans commenting and counting. It's making sure you know what you're going to do when you go up there.
THEN & NOW: The cast of 'Jurassic Park' 25 years later
Isla Nublar now sits abandoned by humans while the surviving dinosaurs fend for themselves in the jungles. The Jurassic franchise may take breaks for a few years, but we'll probably see many more of these films.
Pair of goals by Musa helps Nigeria take out Iceland
Chukwu said that the Super Eagles showed "who we are and what we are really made of as Nigerians - a hard fighting people". Striker Ahmed Musa got a brace for the Eagles in the second half of Nigeria vs Iceland game. "We know Croatia.
While Mexico hasn't yet technically qualified for the last 16, if Sweden draws with or defeats Germany in the match now under way in Sochi, its spot in the second round will be confirmed.
"In the end we haven't achieved anything", said the 31-year-old. After a few unsafe attacks, Mexico found the opener from the penalty kick in the 26th minute, retaining the lead until the interval, as the odds on El Tri to win the first half were +130.
Coach Juan Carlos Osorio, the object of their affections, arrived in Russian Federation this month beneath a hailstorm of criticism from all corners of Mexico. Joshua Kimmich and Marvin Plattenhardt were both used as attacking outlets by the world champions, but this left Die Mannschaft exposed.
With a total of 219 duels in their opening two games of the World Cup, Mexico have won 126 with a success rate of 57.53%.
They are on an eight-match winless run at World Cup finals but coach Shin Tae-yong was pleased with the endeavour of his team.
Mexican coach Juan Carlos Osorio is expected to name the same team that upset the Germans 1-0. Only Russia's Roman Zobnin (eight) has more.