The H-1B visa is a dual intent visa, meaning the H-1B visa holder can apply for and obtain a U.S. Green Card while in the U.S. on an H-1B visa. If the H-1B visa holder is in the U.S. on an H-1B visa and wish to remain in the U.S. for more than six years, you can apply for permanent residency in the U.S. to receive a Green Card. H-1B visa holder should begin the green card application process as soon as possible because sometime the green card process can take multiple years to complete.