The International Linear Collider (ILC) project is the most mature project for the future Higgs factory based on the technology of superconducting accelerating cavities. It offers plethora of measurements in the Higgs sector to address open questions of the Standard Model of particle physics and cosmology. Presented in this contribution are prospects for precision measurements of the Higgs properties at the ILC, including its exotic and CP violating interactions, the trilinear self-coupling as well as the sensitivity to new physics at large energy scales from global EFT fits based on Higgs observables.

