Wolves striker Jimenez touched the ball only nine times in the first half, but was on hand to score from a tight angle with the outside of his right foot in the 63rd minute to give Mexico the lead.
Mexico extended its lead five minutes later when substitute Henry Martin split the Japanese defense with a through ball that Lozano latched onto and finished past keeper Daniel Schmidt.
The first 45 minutes firmly belonged to Japan, who stopped Mexico from having a single shot on target, while causing problems at the other end.
Ochoa made an outstanding save in the 12th, stretching out his left arm to tip Genki Haraguchi‘s long-range shot over the crossbar.
The Mexican captain was forced into a double save three minutes later, as he smothered Musashi Suzuki’s effort from inside the box and also stopped Junya Ito‘s follow-up.
Mexico defeated Korea Republic 3-2 last Saturday, meaning Martino’s record with the Mexican national team after almost two years in charge is now 19 wins from 22 games, with only one defeat.