The invention relates to an additive manufacturing system and a method for manufacturing one or more three-dimensional structures. At least one deposition unit with one or more nozzles is arranged for dispensing a build material through an opening area thereof on a print surface. A controller is provided which is configured to operate the system for deposition of filaments of a build material paste on the print surface in an interconnected arrangement in a plurality of stacked layers in order to form the one or more three-dimensional structures. An actuation unit is arranged in order to have access to the at least one deposition unit, wherein the actuation unit is configured to hold the print surface. The actuation unit is configured to move the print surface at the at least one deposition unit during deposition of the filaments by said deposition unit.