1. Get good grades in high school. Really, make sure your grades are top.
2. Take an admittance exam. Study in advance for exam. Take it several times if you aren't happy. Pay a lot of money for each exam.
3. Be awesome. Be exceptional. Volunteer, have a job, join several student organizations.
4. Get achievements and awards. Excel.
5. Maybe get letters of recommendation, depending on the college.
6. Send in your application, including transcripts, resume and documents proving the aforementioned qualities and achievements.
7. Pay a fee with your application.
9. Receive acceptance letter and pay a fee to confirm intent to study.
10. Then pay TONS in tuition.
I haven't applied for a masters program in the US, but I imagine it to be somewhat similar to applying to the application process for a bachelors program.
My experience applying to the masters program at the University of Vienna:
1. Fill out a pre-registration form online with intent to study.
2. Print out form. Sign form.
3. Send form with original apostilled copy of University diploma and transcript.
4. In my case, include a copy of the language exam I took proving my level of German needed for the study program.
5. Send application to university.
6. Wait a few weeks.
7. Receive acceptance email.
8. Go to registrar office personally to declare intent to study.
9. In my case, pay a small (in comparison to the US) tuition fee, since I am not an EU citizen.
10. Pat yourself on the back for getting accepted into a foreign university and smile because you just saved yourself at least $20,000.