[en] We discuss two different schemes of improving lattice actions based on Block-Spin renoralisation group (BSRG) and maximally symmetric lattices. In the first scheme, we apply the BSRG technique to find the renormalised trajectory explicity for 0(infinity) Heisenberg spin model in two dimensions. For 0(3) and 0(4) models, we choose a four parameter action near the large N renormalised trajectory and demonstrate a remarkable improvement in the approach to continuum limit by performing Monte Carlo simulations. In the second scheme, we show a possible improvement of scaling the Lorentz invariance based on the simple idea of maximally symmetric lattices. Numerical evidence for improvement in two-dimensional SU(3) chiral model and 0(3) nonlinear sigma model is presented. 17 references