One of the first things you should know about asylum is that not every person seeking it is eligible. The purpose of asylum is to protect those who are fleeing imminent danger or persecution in their countries of origin. You can request asylum at a border or entry location when you come to the United States. From there, you will take the next steps to obtain a legitimate immigration status as a refugee.
As with most U.S. immigration law situations, there's a lot of paperwork to fill out to obtain the legal status you seek. Another thing about U.S. immigration law is that it's complex. It often changes, so you must stay updated on current regulations regarding the particular issue that concerns you. You may need to enlist help to achieve your immigration goals, especially if you have a language barrier or other problem that may impede your ability to smoothly navigate the asylum process.