Generally, the cost of private or public school (K-12) doesn't qualify for any education
deductions or credits on your federal return.
However, if your child attends a daycare program before or after
school or if the child is enrolled in pre-kindergarten, whether at a public or private school, you may qualify for a child care credit. Also,
some private school tuition for special needs students may be eligible for a
medical deduction.
A few states allow deductions for K-12 education and/or
home schooling expenses. If your state is one of them, we'll ask you
about it when we get to your state return.
See
Can the Costs Of Private Schooling Be Deducted?