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Abstract We investigate weak lensing effect on cosmic microwave background (CMB) in the presence of a superhorizon mode which leads to a dipole anisotropy in the CMB power spectrum and in large scale structures. The approach of flat-sky approximation is considered. We determine the functions $$\sigma _0^2$$ σ02 and $$\sigma _2^2$$ σ22 that appear in expressions of the lensed CMB power spectrum in the presence of the dipole anisotropy. We determine the correction to B-mode power spectrum which is found to be appreciable at low multipoles (l), around $$15\%$$ 15% at $$l=10$$ l=10 . However, the temperature and E-mode power spectrum are not altered significantly.