We propose a mathematical model of rabbit retinal horizontal cell based on the ionic current mechanisms. Five types of ionic currents in rabbit retinal horizontal cell, I(Na), I(Ca), I(Kv), I(A) and I(Ka), are described by Hodgkin-Huxley type equations based on voltage clamp measurements. In simulation the model reproduced similar responses to voltage and current clamp experiments. Under the current clamp experiment a repetitive action potential was found on A-type rabbit horizontal cells. Our result suggests that the repetitive action potential is generated by an interaction Of I(Ca) and I(Kv).