Probably not the company's mistake. The company is responsible for withholding the amount that you indicate on your W-4. However, it is up to you to tell your company to withhold an adequate amount for your return.
The US tax system is a pay-as-you-go system, so not only do you have to pay tax on your income, but you also have to pay it on a schedule through the year (i.e., you not can't wait until the end of the year to pay your tax).
But as Amy says, we don't have enough information to fully answer your question. Can you tell us things like what your total tax is and when you paid it during the year (i.e., did you withhold your taxes on your W-2, or make estimated tax payments through the year)?
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