Understanding the properties of CP symmetry of the Higgs boson interactions is one of the most important topics in particle physics today. In the Standard Model, the only source of CP violation comes from CKM phase and the Higgs boson has scalar (CP-even) couplings to SM particles.
Current data allow to test these two statements and any CP-odd contribution would be a sign of new physics. The latest results on searches for CP violation in the Higgs couplings to either bosons or fermions are presented here using 13 TeV proton-proton collisions recorded by the ATLAS and CMS detectors at the Large Hadron Collider at CERN. The results are consistent with the SM predictions and a pure CP-odd state is excluded for both couplings to vector bosons and to fermions with 3$\sigma$, but admixtures are possible.