Petition for Skilled Workers - Bachelor's Cap H-1B Bachelor's Cap Petition In the United States, the H-1B Bachelor's cap petition involves employers filing Form I-129 on behalf of prospective H-1B employees with a bachelor's degree who are subject to the annual H-1B visa cap, typically requiring a random lottery if the cap is exceeded. This process determines the selection of beneficiaries who can receive H-1B visas for specialty occupation employment in the U.S.