In this work, we estimate the blow-up time for the non-local hyperbolic equation of ohmic type, ut + ux = λf (u)/( 1 0 f (u) dx) 2 , together with initial and boundary conditions. It is known that, for f (s), −f (s) positive and ∞ 0 f (s) ds < ∞, there exists a critical value of the parameter λ > 0, say λ * , such that for λ > λ * there is no stationary solution and the solution u(x, t) blows up globally in finite time t * , while for λ λ * there exist stationary solutions. Moreover, the solution u(x, t) also blows up for large enough initial data and λ λ * . Thus, estimates for t * were found either for λ greater than the critical value λ * and fixed initial data u 0 (x) 0, or for u 0 (x) greater than the greatest steadystate solution (denoted by w 2 w * ) and fixed λ λ * . The estimates are obtained by comparison, by asymptotic and by numerical methods. Finally, amongst the other results, for given λ, λ * and 0 < λ − λ * 1, estimates of the following form were found: upper bound + c 1 ln[c 2 (λ − λ * ) −1 ]; lower bound c 3 (λ − λ * ) −1/2 ; asymptotic estimate t * ∼ c 4 (λ − λ * ) −1/2 for f (s) = e −s . Moreover, for 0 < λ λ * and given initial data u 0 (x) greater than the greatest steady-state solution w 2 (x), we have upper estimates: either c 5 ln(c 6 A −1 0 + 1) or + c 7 ln(c 8 ζ −1 ), where A 0 , ζ measure, in some sense, the difference u 0 − w 2 (if u 0 → w 2 +, then A 0 , ζ → 0+). c i > 0 are some constants and 0 < 1, 0 < A 0 , ζ. Some numerical results are also given.