Short-range order has been investigated in Ni(Al) solid solutions (with 6 and 10 at.% Al) by measurements of the residual electrical resistivity during thermal treatments. Local ordering results in an increase of resistivity, much stronger for the higher Al concentration. During isothermal annealing, the asymptotic residual resistivity, which characterises the equilibrium state of short-range order, was found to be a linear function of reciprocal temperature. In conditions of constant vacancy concentration, the approach to equilibrium could not be consistently represented by first-order kinetics, even with a distribution of relaxation times or by a sum of two exponentials. Indeed, for the 10 at.% Al alloy, the results clearly proved that the time constant was amplitude-dependent. Although a so-called cross-over was observed in that alloy, the quantitative evaluation of the relaxation of short-range order was carried out by application of a power law. The activation enthalpies of self-diffusion obtained lie in the same range as published diffusion data and they appear to increase when Al concentration goes from 6 to 10 at.%.