The transfer of funds to you, itself, is not taxable. However, if the transfer exceeds $100,000 (U.S.) and it is being deposited into an account in your name only, it would be a reportable gift from a foreign person.
However, it should not cause any tax due (unless your parents are in a very small group of "covered expatriates", which doesn't seem like it applies here.) You can learn a bit more about that reporting here: Gifts from Foreign Persons.
After the money is transferred, any income that it generates in the form of interest, dividends, or capital gains is taxable income to you.
@trics95
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