The Frisco store is inside Stonebriar Centre, and the Plano store is at The Shops at Willow Bend.
The closures were first announced in February, but a closing date had not been set. Apple is opening a Galleria Dallas location April 13.
With the two closures and one opening, Apple will have five locations in the Dallas-Fort Worth area. The company employs 1,000 people in DFW, according to Apple.
Apple stores are known for the Genius Bar, where customers can receive in-person support and repairs for Apple products. The stores also showcase the latest Apple products for customers to test.