Lightly spoon masa harina into dry measuring cups; level with a knife. Combine masa harina, water, and salt in a large bowl, stirring with a whisk. Knead for 30 seconds on a lightly floured surface. Cover and let stand 15 minutes.
Divide dough into 8 equal portions; shape each portion into a ball. Working with 1 dough ball at a time, place ball between 2 sheets of heavy-duty plastic wrap (cover remaining balls to prevent drying). Place ball, still covered, on a tortilla press. Close press to flatten dough, moving handle from side to side. Open press; turn dough one-half turn. Close press to flatten. Remove dough. Carefully remove plastic wrap from flattened dough. Repeat procedure with remaining dough balls; stack flattened dough between sheets of wax paper.
Heat a large nonstick skillet over medium-high heat. Place 1 tortilla in pan; cook 1 minute or until it begins to brown. Carefully turn tortilla over; cook 1 minute. Turn tortilla once more, and cook for an additional 15 seconds. Repeat procedure with remaining tortillas.