<p>This invention concerns a wall assembly (1) for the construction of a wall element (14), wherein accumulation of the shrinkage heights of the different beams to form a major shrinkage for every wall element (14) is avoided, comprising: two profiles (3), which in the mounted state of the wall element (14) extend substantially vertically; - two beams (2), which in the mounted state of the wall element (14) are stacked one on top of the other and extend substantially horizontally between the two profiles (3) and that have at each end a positioning end (6) that has a smaller height than the respective beam (2); two positioning elements (4) for every two beams (2) that can be secured to a profile (3) such that each positioning element (4) in the mounted state of the wall element (14) extends substantially between the positioning ends (6) of two beams (2) stacked one on top of the other and the upper one of these beams (2) stacked one on top of the other is supported on this positioning element (4).</p>