Abstract Direct detection of exoplanets requires a high-contrast instrument called a coronagraph to reject bright light from the central star. However, a coronagraph cannot perfectly reject the starlight if the incoming stellar wave front is distorted by aberrations due to the Earth’s atmospheric turbulence and/or the telescope instrumental optics. Wave-front aberrations cause residual stellar speckles that prevent detection of faint planetary light. In this paper, we report a laboratory demonstration of a speckle-nulling wave-front control using a spatial light modulator (SLM) to suppress the residual speckles of a common-path visible nulling coronagraph. Because of its large format, the SLM potentially has the ability to generate a dark hole over a large region or at a large angular distance from a star of up to hundreds of λ / D . We carry out a laboratory demonstration for three cases of dark hole generation: (1) in an inner region (3–8 λ / D in horizontal and 5–15 λ / D in vertical directions), (2) in an outer region (70–75 λ / D in horizontal and 65–75 λ / D in vertical directions), and (3) in a large region (5–75 λ / D in both directions). As a result, the residual speckles are rejected to contrast levels on the order of 10 −8 in cases 1 and 2. In cases 2 and 3, we can generate dark holes at a large distance (up to >100 λ / D ) and with a large size (70 λ / D square), both of which are out of the Nyquist limit of currently available deformable mirrors.