That depends on your immigration status. If you are a permanent resident or U.S. citizen, you must file a U.S. tax return no matter where you live. Whether you will be taxed depends on income levels and double taxation exemptions.
If you are a resident alien, or a US Citizen, you must file a tax return if your income exceeds roughly $9,000. There are other aspects even if you are a non-resident alien, such as whether you qualify as a long-term resident. If you are a non-resident alien, the question becomes a little more difficult. But if you are not a long-term resident, and are a non-resident alien, you wouldn't have any duty to file in the US.
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If you are a US citizen or "tax resident you must file on your worldwide income.
The above is general legal and business analysis. It is not "legal advice" but analysis, and different lawyers may analyse this matter differently, especially if there are additional facts not reflected in the question. I am not your attorney until retained by a written retainer agreement signed by both of us. I am only licensed in California. See also avvo.com terms and conditions item 9, incorporated as if it was reprinted here.