Several big technology companies including Apple Inc. and YouTube removed links to content from the controversial far-right website Infowars, deepening the debate over how internet platforms should handle divisive or offensive content.

Apple said it eliminated access to five Infowars podcasts, including “The Alex Jones Show,” from its directory over the weekend, saying they didn’t comply with guidelines designed to create a safe environment for users, including prohibitions on “hate themes.” The Infowars podcast “RealNews...