The Orange County School Board in Orlando approved the new policy Tuesday night.
The new policy will allow the passive distribution of some materials but nothing that is religious or political.
The school district has allowed Bibles and materials from an atheist group to be distributed at schools for the past three years.
But the school board cut off the distribution of all religious material after a group called The Satanic Temple made a request to pass out the coloring books.
School officials said they wanted to review the policy.