Gather the required documents. You'll need proof of Mexican citizenship, along with two copies of your Mexican identification document as well as the original. You'll also need three passport photos.
Visit the website of the Mexican Ministry of Foreign Affairs. Scroll down to the very bottom of the page under "Tramites al publico" and click on "Pasaportes." Under the image of the passport and the question "¿que necesito para tramitar mi pasaporte?", click on "Primera vez" if this is your first Mexican passport. Click on "Renovacion" if you're trying to renew a Mexican passport.
Click on "Formatos de solicitud" on the right side of the page. The very first form on that next page, the OP-5, is the passport request form. Open it and print a copy, then fill it out completely and accurately.
Call the Mexican consulate nearest to you to schedule an appointment to submit all your passport documents. You may also request an appointment in person at a Mexican consulate, but there's often a wait of several months.
Submit all the required documents during your appointment and pay the required passport application or processing fee.