Spike-frequency adaptation, which reduces the firing rate of a neuron during a constant stimulus, is a prominent property observed in many neurons. In this work, we studied the effects of the $$I_{\mathrm{AHP}}$$ spiking adaptation on the information transmission and efficiency of the Morris–Lecar (ML) neuron model in the spike-timing coding scheme. We showed that this kind of adaptation caused non-trivial spiking dynamics when the input rate was high. Under the stimulation of high-rate inputs, although $$I_{\mathrm{AHP}}$$ adaptation neurons could not outperform non-adaptation neurons in terms of information rate, $$I_{\mathrm{AHP}}$$ adaptation neurons yielded higher coding efficiency than non-adaptation neurons. We also found that the noise could enlarge the range of input rates that the adaptation takes effect to enhance coding efficiency. Increasing the calcium-activated $$\hbox {K}^{+}$$ current could also extend the range of input rates in which adaptation takes effect. Therefore, we argue that the $$I_{\mathrm{AHP}}$$ adaptation mechanism may play a role of adaptive noise cancelation mechanism in neuronal information processing, i.e., it maintains information transmission when neurons receive low-rate inputs but substantially enhancing coding efficiency for high-rate inputs and highly noise environments by suppressing the spike train variability caused by the noise.