You aren't taxed on Social Security Benefits for your Dependents. Since your child is the person with the legal right to receive these Social Security Benefits, they're only taxable to her. These benefits are reported on her return if she files a return. This is true even if the benefits are deposited in your account. You will only need to file a return for your grandson only if he has additional income. A child generally won't receive enough additional income to make the child's social security benefits taxable.
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