The district said the bond proposal would help fund at least three new schools and help make repairs to existing ones.
New libraries are set in Wake County but voters in Cary and Zebulon rejected other bond projects.
Cary voters will decide on a $30 million housing bond and a $560 million parks and rec projects bond.
On this year's ballot, Durham voters can choose "yes" or "no" to the city's use of GO bonds to fund infrastructure projects.
In his ruling, the judge said Monday that no irreparable harm to James Dunmore exists by proceeding
Voters in Durham to decide yes or no on two separate bonds for Parks & Recreation and Streets and Sidewalks.