Currently, there are equations created according to the reliability theory (RT) to determine the interrepair operation time (IROT) of lifting jib cranes (LJC). This article considers an attempt to create an equation for determining the IROT according to the theory of continuous damage (ТCD). The advantages of the equation created according to ТCD is that it requires a small amount of initial data to calculate the IROT compared to the initial data, which are included in two equations according to RT. There is a prototype of the equation that is created according to ТCD, which has the following output data for determining the IROT: temperature (T) and stress in the structural material (σ_∗); it being known that σ_∗t_∗ = Kexp(kT), where K, k—coefficients, t_∗—IROT, T—temperature [K], σ_∗—stress in the structural material [MPa], at which the IROT ends in time. Since both the stress in the structural material and the inertia coefficient І = 1 + а/g are important for LJC for IROT, then, we create a new equation for ТCD: σ_∗t_∗^m = β₀ехр(kI), where m, β₀, k are empirical coefficients, and I—the inertia coefficient. The coefficient of inertia І = 1 + а/g, which depends on the speeding up of movement (a), with which the load moves on the lifting crane. As shown by the results of the comparison of calculations, the IROT for ТCD has an error of 4.3%–4.7% relative to the results of IROT for RT. Thus, this attempt will allow, on the one hand, to evaluate the process of fatigue of the structural material and to compare the results of the calculation of the IROT according to the equations from the reliability theory (RT) according to the ТCD; on the other hand, the concept of creating new scientific data in the field of RT, which does not change the essence of the problem, is given.