[en] The probability of Z⁰-boson decay to a pair of charged fermions in a strong electromagnetic field, Z^0→ bar f f, is calculated. On the basis of a method that employs exact solutions to relativistic wave equations for charged particles, an analytic expression for the partial decay width Γ(κ) = Γ(Z^0→ bar f f) is obtained at an arbitrary value of the parameter κ = eM_Z^-3 √-(F_μνq^ν)², which characterizes the external-field strength. The total Z⁰-boson decay width in an intense electromagnetic field, Γ_Z(κ), is calculated by summing these results over all known generations of charged leptons and quarks. It is found that, in the region of relatively weak fields (κ < 0.06), the field-induced corrections to the standard Z⁰-boson decay width in a vacuum do not exceed 2%. As κ increases, the total decay width Γ_Z(κ) develops oscillations against the background of its gradual decrease to the absolute-minimum point. At κ_min = 0.445, the total Z⁰-boson decay width reaches the minimum value of Γ_Z(κ_min) = 2.164 GeV, which is smaller than the Z⁰-boson decay width in a vacuum by more than 10%. In the region of superstrong fields (κ > 1), Γ_Z(κ) grows monotonically with increasing external-field strength. In the region κ > 5, the t-quark-production process Z^0→bar t t, which is forbidden in the absence of an external field, begins contributing significantly to the total decay width of the Z⁰ boson.