A molding tool for processing expandable or expanded particle foam material for producing a particle foam molding, comprising at least two mold cavity of the mold defining mold halves (2, 3), wherein at least one mold half (2, 3) comprises at least two forming one of one of the tempering of the at least one mold half (2, 3) serving tempering fluid flow-through intermediate space interconnectable or connected mold halves parts (2.1, 2.2), characterized in that at least one mold halves part (2.1, 2.2) with at least one inflow portion for an inflowing into the intermediate space temperature control fluid and at least one communicating with it, bounded by wall portions of the mold halves part (2.1, 2.2) pre-distribution space is formed, wherein within the pre-distributor space there are several spatially distributed or formed inflow portions, wherein the wall portions limiting the pre-distributor space are arranged or formed at least in sections crenellated, wherein a desired inflow of the tempering fluid from the pre-distributor space into the intermediate space is made possible by a corresponding crenellation structure with regard to certain flow characteristics of the tempering fluid; and that at least one mold halves part (2.1, 2.2) having at least one outflow portion for an outflowing from the intermediate space tempering fluid and at least one communicating with it, the pre-distributor space opposite arranged by wall portions of the mold halves part (2.1, 2.2) limited post-distributor space is formed, wherein within the post-distributor space several spatially arranged or formed outflow portions are present, wherein the limiting the post-distributor space wall portions are arranged or formed at least in a cinder-like manner, wherein by a corresponding pinnacle structure a desired inflow of the tempering fluid from the intermediate space into the post-distributor space is made possible with regard to certain flow characteristics of the tempering fluid; further comprising a plurality of at least partially arranged between the or an inflow portion and the or an outflow portion flow-influencing elements (11.1) comprising flow-influencing structure, wherein the cross-sectional geometry of a respective flow-influencing element (11.1) is selected with regard to a desired flow-technical influence of the flow properties of the tempering fluid at the respective location where the respective flow-influencing element (11.1) is arranged in the intermediate space. characterized in that at least one mold halves part (2.1, 2.2) with at least one inflow portion for an inflowing into the intermediate space temperature control fluid and at least one communicating with it, bounded by wall portions of the mold halves part (2.1, 2.2) pre-distribution space is formed, wherein within the pre-distributor space there are several spatially distributed or formed inflow portions, wherein the wall portions limiting the pre-distributor space are arranged or formed at least in sections crenellated, wherein a desired inflow of the tempering fluid from the pre-distributor space into the intermediate space is made possible by a corresponding crenellation structure with regard to certain flow characteristics of the tempering fluid; and that at least one mold halves part (2.1, 2.2) having at least one outflow portion for an outflowing from the intermediate space tempering fluid and at least one communicating with it, the pre-distributor space opposite arranged by wall portions of the mold halves part (2.1, 2.2) limited post-distributor space is formed, wherein within the post-distributor space several spatially arranged or formed outflow portions are present, wherein the limiting the post-distributor space wall portions are arranged or formed at least in a cinder-like manner, wherein by a corresponding pinnacle structure a desired inflow of the tempering fluid from the intermediate space into the post-distributor space is made possible with regard to certain flow characteristics of the tempering fluid; further comprising a plurality of at least partially arranged between the or an inflow portion and the or an outflow portion flow-influencing elements (11.1) comprising flow-influencing structure, wherein the cross-sectional geometry of a respective flow-influencing element (11.1) is selected with regard to a desired flow-technical influence of the flow properties of the tempering fluid at the respective location where the respective flow-influencing element (11.1) is arranged in the intermediate space.