Fill out your paperwork. At a border checkpoint, show your passport (or equivalent identification documents) to officials and complete the form entitled "Migration form for Tourists, Transmigrants, Visiting Businesspersons, or Visiting Consultants." These will be available at any point of entry into Mexico. Some airlines will give you the form to fill out when you land.
Pay the fee. Once you've filled out your form, officials will ask you to pay an amount in pesos or dollars, at which point your tourist card will be validated. If traveling by plane or cruise ship, check to see if you're already covered; many airlines and cruise lines include this fee in the price of your ticket. Be aware that some immigration offices will not take your money directly; instead, they'll send you to a nearby bank, where the teller will stamp your visa as paid.
Set off on your trip. Once paid, the tourist card will allow you to travel around the country with multiple re-entries for up to 180 days. Mexican law dictates that you must have the card on you while traveling. It is wise to make a copy to carry around with you in case the original gets lost.