  We propose a model of uniform rate inflation on the brane. The potential is
given by a hyperbolic cosine function plus a negative cosmological constant.
The equation of motion is solved analytically without using slow-roll
approximation. The result is that the inflaton field is rolling at a constant
speed. The prediction for cosmological perturbations depends on the field value
at the end of inflation. The experimental constraints could be satisfied in the
parameter space.
