You may purchase rental property as a passive investment while holding H-1B. You will need to declare the income on your income tax returns. The only issue you could face is if you managed the property yourself as USCIS could conclude you engaged in unauthorized employment. You can read more about H-1B at http://myattorneyusa.com/work-visas.
Answered on Jul 27th, 2016 at 2:38 PM