Fiber-laying device for laying continuous fiber material for manufacturing a fiber-composite component using a multiaxial automaton which at the end of its kinematic chain has a fiber-laying unit for laying the continuous fiber material, wherein the kinematic chain of the automaton comprises a plurality of joints (A1-A6) in order for the processing unit to be moved in space, having a fiber-material storage unit for providing the continuous fiber material to be laid, and having a fiber-guiding installation for infeeding the continuous fiber material from the fiber-material storage unit to the fiber-laying unit which is remote from the fiber-material storage unit and is movable in space, whereby the fiber-guiding installation has at least one deflection unit (12, 14, 16) which is disposed on the automaton so as to be fixedly spaced apart from a joint (A1, A2, A3) of the kinematic chain of the automaton, such that at least two fiber-guiding portions (13, 15, 17, 18) are formed between the fiber-material storage unit and the fiber-laying unit, wherein the fiber-laying device has a fiber-material equalization installation which in the fiber-infeed direction is provided ahead of the kinematic chain of the automaton and which is configured for compensating for a length variation of at least one fiber-guiding portion (13, 15, 17), which correlates to the fixed spacing of the at least one deflection unit (12, 14, 16) from the respective joint (A1, A2, A3), when the fiber-laying device is moved through the multiaxial automaton, characterized in that that the kinematic chain of the automaton comprises a first main rotary joint including a vertical main rotary axis, following in the kinematic chain a second and third main joint (A2, A3), and following in the kinematic chain at least two head axes (A4, A5, A6) for moving the fiber-laying unit, wherein the fiber-guiding installation has a) a first deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the first main rotary joint, such that a first fiber-guiding portion is formed between the fiber-material storage unit and the first deflection unit, b) a second deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the second main joint, such that a second fiber-guiding portion is formed between the first deflection unit and the second deflection unit, and c) a third deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the third main joint, such that a third fiber-guiding portion is formed between the second deflection unit and the third deflection unit, and a fourth fiber-guiding portion is formed between the third deflection unit and the fiber-laying unit. a) a first deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the first main rotary joint, such that a first fiber-guiding portion is formed between the fiber-material storage unit and the first deflection unit, b) a second deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the second main joint, such that a second fiber-guiding portion is formed between the first deflection unit and the second deflection unit, and c) a third deflection unit which is disposed on the automaton so as to be fixedly spaced apart from the rotation axis of the third main joint, such that a third fiber-guiding portion is formed between the second deflection unit and the third deflection unit, and a fourth fiber-guiding portion is formed between the third deflection unit and the fiber-laying unit.