Yes. You can claim him. Since he is a full-time student, his income is not an issue for dependency.
Here are the rest of the requirements:
A "Qualifying Child" may include your child or stepchild, foster child, sibling or step-sibling, or descendants of any of these, such as your grandchild.
For 2017, you can claim a $4,050 exemption for each qualifying child. To qualify for the exemption, the child must live with you more than half of the year and be under 19 at the end of the year, or under 24 and a full-time student for the year (defined as attending school for at least part of five calendar months during the year).
You no longer have to show that you provide more than half of the child's support, as was required under the rules in effect a few years ago. However, to claim an exemption the child cannot provide more than half of his or her own support.
There is no gross income test for a qualifying child. That means you can claim an exemption even if the child has a fair amount of income, as long as the child doesn’t provide over half of his or her own support, as outlined above.
