The invention concerns an apparatus (1) for producing a three-dimensional object layer by layer using a powdery material which can be solidified by irradiating it with an energy beam, such as electromagnetic radiation or an electron beam, said apparatus (1) comprising: a working area (3) onto which layers of powdery material are to be placed; a powder storage unit (11) comprising a base surface (13) for supporting a supply of powder (2); and a powder distribution member (6); wherein the base surface (13) extends along a side of the working area (3), wherein the distribution member (6) extends in a direction along the base surface (13) and said side of the working area (3) and is arranged to be moveable in a plane above, and substantially parallel to, the base surface (13) and the working area (3), and wherein the distribution member (6) is arranged to be moveable into a supply of powder (2) placed onto the base surface (13) such as to bring about a transfer of a portion of powder from a side of the distribution member (6) facing away from the working area (3) to an opposite side of the distribution member (6) facing the working area (3), said distribution member (6) further being arranged to be moveable towards and across the working area (3) so as to distribute the portion of powder onto the working area (3). The invention is characterized in that at least a part (15) of the base surface (13) is arranged to be resilient in a vertical direction.