"MÉXICO ESTO ES PARA TI," Meza, 26, wrote in the caption of an Instagram post, which translates to "Mexico this is for you," alongside a video of her after the win was announced.
Meza beat 73 other women, including Miss Brazil Julia Gama, who was runner-up, and Miss Peru Janick Maceta Del Castillo, who was second runner-up.
"I am so honored to have been selected among the 73 other amazing women I stood with tonight," Meza said in a news release from Miss Universe Organization. "It is a dream come true to wear the Miss Universe crown, and I hope to serve the world through my advocacy for equality in the year to come and beyond."
In her final statement during the pageant, Meza spoke about beauty standards.
"We live in a society that more and more is more than advanced, and as we advance as a society, we've also advanced with stereotypes," she said.
"Nowadays beauty isn't only the way we look. For me, beauty radiates not only in our spirit, but in our hearts and the way that we conduct ourselves. Never permit someone to tell you that you're not valuable."
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Meza, who is from Chihuahua City, is a model and make-up artist and has a degree in software engineering, according to Miss Universe Organization's news release.