A phenomenological study of CP-violating dimension-six operators via the e + e − → ννH process is performed in a model-independent Standard Model effective field theory framework at all energy stages of CLIC using the updated baseline integrated luminosities. All signal and relevant background events are generated in MadGraph5_aMC@NLO and passed through PYTHIA 8 for parton showering and hadronization at parton level. Detector effects are considered via tuned CLIC detector cards in Delphes. Since we reconstruct the Higgs boson from a pair of b-jets, limits on CP-violating dimension-six couplings are obtained at three b-tagging working points: tight, medium and loose defined in the CLIC Delphes card for all three energy stages of CLIC. Our best 95 % C.L. limits at the loose working point (90 % b-tagging efficiency) onc HW andc HB are [−7.0 × 10 −3 ; 7.0 × 10 −3 ] and [−3.0 × 10 −2 ; 3.0 × 10 −2 ], respectively at the 3 TeV energy stage of CLIC with an integrated luminosity of 5.0 ab −1 . Considering a 0.3 % systematic uncertainty worsens the limits on these couplings by a factor of two.Although the observation of a scalar particle with mass about 125 GeV compatible with the Standard Model (SM) Higgs boson at the Large Hadron Collider (LHC) [1, 2] marked a milestone in particle physics, evidence for new physics beyond the SM has not been observed yet in the analysis of combined ATLAS and CMS data to probe the couplings of the Higgs boson. Therefore, one of the main topics of the High-Luminosity LHC (HL-LHC) program and envisaged future high-energy collider projects will be the precise measurement of the Higgs-boson couplings to the SM particles.In the SM framework, the experimental data is currently consistent with a CP-even hypothesis and the charge conjugation-parity (CP) violation is described by Cabibbo-Kobayashi-Maskawa (CKM) matrix [3,4] with a single complex phase in the Yukawa sector. However, the origin of the baryon asymmetry of the universe can not be explained by the CP violation in the SM [5]. An extended Higgs sector together with CP-violation beyond the Standard Model (SM) is one of the conceivable options to explain the baryon asymmetry of the Universe. Especially, the couplings of Higgs to SM gauge bosons and/or fermions are interesting possibilities which contain new sources of CP-violation. A well-known approach of searching for new physics in a model-independent way is the SM Effective Field Theory (EFT). The basic principle of this approach is that all new physics contributions to the SM are included with higher-dimensional operators conforming to SU(3) C × SU(2) L × U(1) Y SM gauge symmetry [6,7]. The possibility of CP-violating couplings involving higher-dimensional interaction terms containing the Higgs and gauge boson pairs cannot be discarded in the investigation of new physics. Searches for CP-violating Higgs-gauge boson couplings to higher-dimensional operators were previously performed in many rewarding studies at experimental LHC data [8][9][10][11] and phenomenologically at LHC [12-21]...