I would say it depends. H-4 holders are not allowed to work in the U.S. However, generally they may invest as long as you’re not using it as as a quasi job. You should consult with an immigration attorney before you begin investing to make sure. You can do that at. Our immigration attorneys have helped many visa holders maneuver the complexities of immigration law at an affordable rate. Visit us for a quick & easy strategy session. Good luck!