Telnov, V.I. JACoW Publishing Geneva, Switzerland It is already known that beamstrahlung put a limitation on attainable luminosity of circular high energy e⁺e⁻ colliders (like FCC-ee and CEPC), it determines beam lifetimes, increase the energy spread and leads to a beam lengthening. Current projects take these effects into account using well known synchrotron radiation (SR) formulas. In this talk I show that these formulas are not applicable for colliders with crab-waist collisions (all new projects of circular e⁺e⁻ colliders) because at these colliders the deflection angle during the beam collisions θ< 1/γ. In this case the characteristic maximum frequency is ω_{m} ≈cγ²/σ instead of the SR critical frequency ω_{c}≈cγ³/ρ (where σ is the crossing length), the ratio ω_{m}/ω_{c} >1 and the spectrum is completely different. As result all effects due to beamstrahlung are stronger than give standard SR formulas. In the talk results of exact numerical calculation of beamstrahlung spectra for parameter region of e⁺e⁻ circular collides are presented with analysis and conclusion.