Method for producing a plastic moulded part that is composed of a fibre-composite plastic layer and of a surface coating of plastic, in particular a body component of a motor vehicle, in a single tool which has at least two tool parts (9, 10) that are movable in relation to one another and delimit a moulding cavity, said method comprising the following method steps: a) a flexible mat that is preferably composed of a silicone material is disposed on a surface of a first tool part in such a manner that said mat covers the surface of the first tool part so as to bear on the entire area at least in a region that delimits the moulding cavity; b) a fibrous semi-finished product from reinforcing fibres is incorporated into the moulding cavity of the tool in such a manner that said fibrous semi-finished product is disposed between the flexible mat and the second tool part; c) the moulding cavity of the tool is filled with a free-flowing plastic matrix, wherein the plastic matrix is filled into a region between the flexible mat and the second tool part in which also the fibrous semi-finished product is disposed; d) the fibrous semi-finished product and the plastic matrix, while forming the fibre-composite plastic layer, are at least partially cured in the moulding cavity of the tool; e) a free-flowing plastic moulding compound is filled into the moulding cavity of the tool in such a manner that a plastic layer that bears on the full area of a surface of the flexible mat is formed between the at least partially cured fibre-composite plastic layer and the flexible mat; f) the plastic layer, while forming the surface coating, is cured in the moulding cavity of the tool, wherein the surface coating bears on the full area of the surface of the flexible mat and, while forming the plastic moulded part, at least in portions connects to the fibre-composite plastic layer in a materially integral manner; g) the plastic moulded part that is composed of the fibre-composite plastic layer and of the surface coating is removed from the moulding cavity of the tool. a) a flexible mat that is preferably composed of a silicone material is disposed on a surface of a first tool part in such a manner that said mat covers the surface of the first tool part so as to bear on the entire area at least in a region that delimits the moulding cavity; b) a fibrous semi-finished product from reinforcing fibres is incorporated into the moulding cavity of the tool in such a manner that said fibrous semi-finished product is disposed between the flexible mat and the second tool part; c) the moulding cavity of the tool is filled with a free-flowing plastic matrix, wherein the plastic matrix is filled into a region between the flexible mat and the second tool part in which also the fibrous semi-finished product is disposed; d) the fibrous semi-finished product and the plastic matrix, while forming the fibre-composite plastic layer, are at least partially cured in the moulding cavity of the tool; e) a free-flowing plastic moulding compound is filled into the moulding cavity of the tool in such a manner that a plastic layer that bears on the full area of a surface of the flexible mat is formed between the at least partially cured fibre-composite plastic layer and the flexible mat; f) the plastic layer, while forming the surface coating, is cured in the moulding cavity of the tool, wherein the surface coating bears on the full area of the surface of the flexible mat and, while forming the plastic moulded part, at least in portions connects to the fibre-composite plastic layer in a materially integral manner; g) the plastic moulded part that is composed of the fibre-composite plastic layer and of the surface coating is removed from the moulding cavity of the tool.