Can I claim my daughter's tuition that I paid in 2016, she graduated in May of 2016.

[quadcells]

My daughter graduated in May 2016 and she lives at home but has a job. She is 24 years old.

[Bsch4477]

You can only claim it if she is your dependent.  Since she is 24, she would have to have earned less than $4050 in 2016 for you to claim her and you would have to have provided more than half of her support.