Yes. You can include a spouse and unmarried children under the age of 21 as dependents on your asylum application. Even if your child turns 21 while your application is pending, they may still be eligible for asylum under your petition.

If your spouse and children are outside the United States when you are granted asylum, you may be able to obtain derivative asylum status for them by filing a Refugee and Asylee Relative Petition (Form I-730)