Through theoretical analysis, this paper constructs a physical model that includes the influence of counter-external driven current opposite to the plasma current direction on the neoclassical tearing mode (NTM). The equation is used with this model to get the modified Rutherford equation with co- and counter-current contributions. Consistent with the reported experimental results, numerical simulations have shown that the localized counter external current can only partially suppress NTM when it is far from the resonant magnetic surface. Under some circumstances, the Ohkawa mechanism dominated (OKCD) of electron cyclotron waves can concurrently create both co- and counter-current. In this instance, the minimal electron cyclotron wave power that suppresses a particular NTM was calculated by the Rutherford equation. The result is marginally less than when taking co-current alone into consideration. As a result, to suppress NTM using OKCD, one only needs to align the co-current with a greater OKCD peak well with the resonant magnetic surface; the effect of its lower counter-current need not be considered because the location of the counter-current deviates greatly from the resonant magnetic surface.