Many US MBA programs offer scholarships or other financial aid to foreign students. A full scholarship is almost impossible to find but partial financial aid is common. It goes primarily to students with high GPA and GMAT scores. GMAT above 600 can help. Below 600 there is probably not much chance.
No one should consider an MBA degree without consulting the Official MBA Guide, a comprehensive free public service with more than 2,000 MBA programs listed worldwide. It allows you to search for programs by location (US, Europe, Far East, etc.), by concentration (finance, marketing, aviation management, health management, accounting, etc.), by type of program (full-time, distance learning, part-time, etc), and by listing your own criteria and preferences to get a list of universities that satisfy your needs. You can use the Guide to contact schools of your choice, examine their data, visit their web site, and send them pre applications. You can see lists of top 40 schools ranked by starting salaries of graduates, GMAT scores, and others. It's the best service available at http://officialmbaguide.org.