A process for producing a sandwich component. A first covering layer is formed on a molding surface of a molding tool; a core is produced by building up a cell structure having a multiplicity of cells in a thickness direction on the first covering layer via an additive production process; and a second covering layer is formed on a deposition surface of the core, the surface being situated on the opposite side from the first covering layer. A core for a sandwich component is furthermore described, as is a sandwich component.