A rubber extrusion device comprising a cylindrical cylinder, a screw disposed in an internal space of the cylinder, a head disposed at a leading end of the cylinder and including an extrusion flow path communicating with the internal space, and a die attached to the head at a leading end position of the extrusion flow path and including an extrusion port, wherein the rubber extrusion device comprises a sensor for detecting a deviation (d) from a preset reference position of a rubber extrudate extruded from the extrusion port, and a control unit adapted for providing control for correction of the deviation (d) based on detection data from the sensor to suppress a curvature of the rubber extrudate, wherein the rubber extrusion device is adapted for placing the rubber extrudate in a hanging position and then conveying it downstream, characterized in that the rubber extrusion device further comprises a moving unit for moving the die relative to the head at least in a uniaxial direction (X, Y) along a leading end surface of the head, that the deviation (d) is an inclination, in a width direction with respect to horizontality, of the rubber extrudate located in the hanging position, that the control unit is configured to control the moving unit to correct the deviation (d), and in that the control unit is configured for acquiring and storing in the control unit in advance, for a plurality of rubber types, correlation data indicating a relationship between extrusion conditions, the deviation (d), and an amount of control for correction of the deviation (d), and for providing in an initial period of extrusion of the rubber extrudate, control for correction of the deviation (d) based on the rubber type of the rubber extrudate to be extruded, the extrusion conditions, and the correlation data to suppress curving of the rubber extrudate. a cylindrical cylinder, a screw disposed in an internal space of the cylinder, a head disposed at a leading end of the cylinder and including an extrusion flow path communicating with the internal space, and a die attached to the head at a leading end position of the extrusion flow path and including an extrusion port, wherein the rubber extrusion device comprises a sensor for detecting a deviation (d) from a preset reference position of a rubber extrudate extruded from the extrusion port, and a control unit adapted for providing control for correction of the deviation (d) based on detection data from the sensor to suppress a curvature of the rubber extrudate, wherein the rubber extrusion device is adapted for placing the rubber extrudate in a hanging position and then conveying it downstream, characterized in that the rubber extrusion device further comprises a moving unit for moving the die relative to the head at least in a uniaxial direction (X, Y) along a leading end surface of the head, that the deviation (d) is an inclination, in a width direction with respect to horizontality, of the rubber extrudate located in the hanging position, that the control unit is configured to control the moving unit to correct the deviation (d), and in that the control unit is configured for acquiring and storing in the control unit in advance, for a plurality of rubber types, correlation data indicating a relationship between extrusion conditions, the deviation (d), and an amount of control for correction of the deviation (d), and for providing in an initial period of extrusion of the rubber extrudate, control for correction of the deviation (d) based on the rubber type of the rubber extrudate to be extruded, the extrusion conditions, and the correlation data to suppress curving of the rubber extrudate.