A bar system for building, the system provided with a plurality of bars, a level adjustment mechanism, and a dampener. Each of the bars having a recess positioned in a shank portion, with bars being adapted in use to at least partly enclose the level adjustment mechanism. The level adjustment mechanism including level adjustable projections adapted to project from the bars against a support structure, and provided with a surface which extends in a longitudinal direction of the bars, as seen in the use of the system, and with engagement adapted for engagement with recess. The shank, which the recesses that is adapted to engage with the engagement, is adapted to press the engagement towards level adjustment during application of the bars to the level adjustment, and recess is adapted to allow the engagement for moving resiliently back for engagement with recess in an interconnected position.