Context : Aims : The aim of the present work is to study the overall mass distribution of the galaxy clusters Abell 1351 and Abell 1995 using weak gravitational lensing . These clusters have got a very different mass structure and dynamical state , and are the two extremes from a larger sample of 38 X-ray luminous clusters of similar size and redshift . Methods : We measure shear values of faint background galaxies and correct for PSF anisotropies using the KSB+ method . Two-dimensional mass maps of the clusters are created using a finite-field mass reconstruction algorithm , and verified with aperture mass statistics . The masses inferred from the reconstructions are compared to those obtained from fitting spherically symmetric SIS- and NFW-models to the tangential shear profiles . We discuss the NFW concentration parameters in detail . Results : From the mass reconstructions we infer M _ { 2 D } ( < r _ { 200 } ) -masses of 11.7 \pm 3.1 \times 10 ^ { 14 } h _ { 70 } ^ { -1 } M _ { \odot } and 10.5 \pm 2.7 \times 10 ^ { 14 } h _ { 70 } ^ { -1 } M _ { \odot } for Abell 1351 and Abell 1995 , respectively . About 3 \arcmin north-east of the main mass peak of Abell 1351 we detect a significant secondary peak in the mass reconstruction as well as by aperture mass statistics . This feature is also traced by clusters members selected by means of their V - I colour , and hence is likely a real sub-structure of Abell 1351 . From our fits to the tangential shear we infer masses on the order of M _ { 200 } \sim 8 - 9 \times 10 ^ { 14 } h _ { 70 } ^ { -1 } M _ { \odot } ( Abell 1351 ) and M _ { 200 } \sim 5 - 6 \times 10 ^ { 14 } h _ { 70 } ^ { -1 } M _ { \odot } ( Abell 1995 ) . The concentration parameters remain poorly constrained by our weak lensing analysis . Conclusions :