We present new anisotropic black brane solutions in 5D Einsteindilaton- two-Maxwell system [1]. The anisotropic background is specified by an arbitrary dynamical exponent v, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to v = 1 and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram. © The Authors, published by EDP Sciences, 2018.