A steerable illumination fixture includes an emitting source and a refractive optical system that steers an emitted beam by relative translation of the emitting source against the optical system. The light emitting source may be placed along an optical axis of one or more lenses to produce an output beam along that axis, or translated in-plane (orthogonal to the optical axis) relative to the lenses to produce a steered beam. The optical system may include refractive lenses or mixing channels and/or one or more baffles with apertures. A round, uniform beam results that retains approximately the same power level and beam width as it is steered. A second lens having a diameter equal to or larger than a first lens may be provided and configured with an effective focal plane of the two lenses located approximately at the plane of the light emitting source.