  We study ageing during surface growth processes described by the
one-dimensional Kardar-Parisi-Zhang equation. Starting from a flat initial
state, the systems undergo simple ageing in both correlators and linear
responses and its dynamical scaling is characterised by the ageing exponents
a=-1/3, b=-2/3, lambda_C=lambda_R=1 and z=3/2. The form of the autoresponse
scaling function is well described by the recently constructed logarithmic
extension of local scale-invariance.
