  We consider the renormalisation of lattice QCD operators with one and two
covariant derivatives related to the first and second moments of generalised
parton distributions and meson distribution amplitudes. Employing the clover
fermion action we calculate their non-forward quark matrix elements in one-loop
lattice perturbation theory. For some representations of the hypercubic group
commonly used in simulations we determine the sets of all possible mixing
operators and compute the matrices of renormalisation factors in one-loop
approximation. We describe how tadpole improvement is applied to the results.
