A method for layerwise production of a tangible object comprises repeatedly performing method cycles. Each method cycle comprises the steps of solidifying a predetermined area of an uppermost liquid layer (10) of a liquid (3) in a reservoir (2), so as to obtain a solid layer of the tangible object, and creating, above, parallel and adjacent to the solid layer, a successive uppermost liquid layer of the liquid. Said creating of the successive liquid layer is carried out by spraying such liquid onto upper parts of the contents in the reservoir. A height distribution over at least part of the surface of the uppermost liquid layer is measured by means of a measuring device (6). Based on the measured height distribution, the solidifying is carried out to compensate for unflatness of the measured height distribution.