A method for operating a road paver comprises paving a road surface with the road paver along a road bed, wherein a paving screed of the road paver is drawn over the road bed along a paving direction of travel. The following steps are performed using a curve correction unit: determining a value defining a steering angle of the road paver; calculating based on the determined value an expected offset of the paving screed, which results from a yawing movement of the road paver during steering with the steering angle defined by the determined value; and automatically correcting a lateral extension position of at least one lateral extension part of the paving screed based on the expected offset, so that the offset is compensated.