The Higgs sector presents a well motivated avenue to introduce additional sources of CP violation beyond the SM. In this seminar, I will first introduce a framework to parameterize CP violation in various Higgs couplings. Focusing on the Higgs coupling to top quarks and gluons (and their interplay), I will discuss several ways of probing the introduced couplings. These include inclusive and differential collider measurements, electric dipole moments and machine learning techniques. Additionally, I will discuss methods to interpret the output of machine-learning models.