Apple Inc. removed Alex Jones’s Infowars website from its App Store late Friday, eliminating one of the few remaining digital platforms available to the right-wing provocateur.

The technology company took down five apps affiliated with Infowars for violating its app-developer guidelines, an Apple spokeswoman said. Those guidelines preclude apps that deliver content that is “offensive, insensitive, upsetting…or in exceptionally poor taste.” That includes “mean-spirited references or commentary” about religion, race, sexual...