A first-half penalty and a second-half strike from Javier Hernandez were enough to see off South Korea, even after their late goal from Son Heung-Min.
The result leaves Mexico top of Group F and they only need to avoid defeat against Sweden next Wednesday to secure their place in the last 16.
Expectedly, Tottenham star Son Heung-min was their most risky outlet and threatened the Mexicogoal a couple of times in the opening exchanges.
But Korea had chances and the momentum of the game turned on another penalty, awarded against Jang Hyun Soo for a blatant handball and converted by Vela. Lozano probed the South Korean defense and laid the ball off to Hernandez, who became the first Mexican worldwide to score 50 goals for his country.
Saturday was no different, except their route to victory in a key World Cup group game at Russian Federation 2018 was anything but simple for the four-time world champions.
Mexico showed their quality on the break again when Miguel Layun fired in a cross that Lozano very almost got on the end of, but they did not have to wait much longer to take the lead.
Hernandez and Carlos Vela scored a goal each at Rostov Arena.
- South Korea has lost its last four World Cup matches, tied for its worst losing run at the World Cup (it also lost four straight between 1986 and 1990).
"I think our players had a game they will not regret", South Korea coach Shin Tae-yong. Looking forward, even if they have nothing to play for in their last game against Germany, you can bet they will give it their all to try and cause upset.
Ki Sung-yueng threatened in the 56th minute with a ferocious drive that Guillermo Ochoa could only gather at the second attempt, before Cho did well two minutes later to keep out a curler by Guardado at full stretch.
Despite their overall boisterousness, Mexico's fans didn't use their usual controversial "eh, puto!" chant during goal kicks taken by the South Korean goalkeeper.
Mexico so far is one of the teams that has a flawless run in the campaign and has conceded just one goa.
South Korean President Moon Jae-in, in Russian Federation on an official visit, attended the match at Rostov Arena.
She also said her in-laws and the Manes had spread lies about her in Latur and that had led to her first marriage breaking down. On Thursday, 11-year-old Vijay Shinde (not related to Ulka Shinde), and 53-year-old Gopinath Nakure died in separate hospitals.
During the hospital press conference, Jacinda also spoke about how she chose the unusual name for her new daughter, Neve. In a slip of the tongue, Ms Ardern accidentally referred to the newlyweds as 'The Duke and Duchess of Essex'.
England and South Africa meet again at Twickenham in London during November when the Springboks tour Europe. If we can get it right quickly then we are definitely in with a chance - but we have to manage our talent.
Coming to the cameras, the first Android Go smartphone from Samsung will be offering an 8MP rear camera and a 5MP front camera. However, none of these features are set in stone and can be changed so take this with a pinch of salt.
Serena Williams celebrates victory during the ladies singles third round match at the 2018 French Open on June 2, 2018. During Williams's maternity leave, her ranking slid from No. 1 overall in the world to 454th.
Shaqiri then nearly put his side in front as his wonderful left-footed curler, aimed for the top corner, hit the upright. His family sought refuge in Switzerland , like so many others, during the bloody war between Kosovo and Serbia .
Babar Azam was in the ODI squad provided he recovers from a forearm injury he sustained during the test series against England. Twenty-six-year-old Asif Ali has also been included in the ODI squad "to strengthen the lower middle order".
Trainer Steve Donohue and Boone walked Sanchez, slowly, off the field, and backup Austin Romine took over the next inning. Yankees catcher Gary Sanchez is likely heading to the disabled list, NY manager Aaron Boone told reporters Sunday.
It's said to be marketed as Apple's higher-end alternative to its Beats headphones, complete with native Apple branding. Apple is said to be looking into including a heart-rate monitor and other biometric sensors with future AirPods as well.
Amazon already sells a version of Alexa for workplaces, and has struck deals to place Alexa in cars and refrigerators. As he was watching TV on his Amazon Prime account, his Echo speaker paused the program to utter a weird sentence.
The app enables users to book cars using their smartphones and is available in more than 40 towns and cities across the UK. It meant drivers would be entitled to holiday pay, paid rest breaks and the national minimum wage.
Defender out of World Cup clash
Due to the superior goal difference after their wins over Saudi Arabia and Egypt , Russia only needs a draw to reach first place. The hosts have looked particularly risky going forward with Artem Dzyuba , Aleksandr Golovin and Denis Cheryshev all impressing.
Tens of thousands rally for new vote on Brexit
Others, including Treasury chief Philip Hammond, want to keep closely aligned to the bloc, Britain's biggest trading partner. Sir Vince is expected to say Brexit is not a "done deal" or inevitable and can be stopped.
Trump tells Jimmy Fallon to 'be a man' over hair-mussing
Fallon went on to insist that he had not done the stint for the ratings, saying, "I don't really care about the ratings". While both tweets were deleted, an archive shows Fallon did in fact make both the "This is great!" and "I'm" posts.
Erdogan declares victory in historic Turkish elections
The main opposition CHP will have 146 seats, the pro-Kurdish HDP 67 and the breakaway nationalist Iyi Party 44. To achieve an outright win and avoid a second round, Erdogan needs to secure more than 50 percent of the vote.
Harley-Davidson to shift some bike production outside US
New U.S. tariffs on steel and aluminum could increase the company's bill for raw materials by as much as $20 million this year. The European Union has enacted tariffs on various USA -manufactured products, including Harley-Davidson motorcycles .
Argentina team the worst in history, says legend Ardiles
Croatia will secure top spot in Group D by avoiding defeat against Iceland in their final match in Rostov next Tuesday. It's the 53rd minute, and Croatia are pushing up, with Argentine right-back Gabriel Mercado in possession.