This study experimentally investigates the transverse flow-induced vibration (FIV) of an elastically mounted cube at three different incidence angles of alpha = 0 degrees, 20 degrees and 45 degrees, corresponding to two centreplane mirror-symmetric cases and one asymmetric case. The FIV response is characterised by analysing the vibration amplitude and frequency responses, together with the fluid force coefficients and phases, over the reduced velocity range of 1.2 <= U* <= 16. Here, U* = U/(f(nw)H), with U the free-stream velocity, f(nw) the natural frequency of the system in quiescent fluid (water) and H the frontal projected width of the body. It was found in the alpha = 0 degrees case that two synchronisation regions could be identified, where the periodic body vibration was synchronised with oscillatory shear layers. The vibration amplitude was found to increase with U* in the second synchronisation region, with the largest value of A*(max) similar or equal to 0.74 observed at the highest LP value tested. In the asymmetric orientation case of alpha = 20 degrees, a synchronisation region occurred over 6.0 < U* < 8.6, where the amplitude tended to increase to its local peak of A*(max) similar or equal to 0.25 at U* = 8.6. For higher U* values, synchronisation was lost, but the cube still exhibited high amplitude oscillations. However, in the alpha = 45 degrees case, while the vibration amplitude tended to increase with LP (i.e. A*(max) similar or equal to 0.3 at U* = 16), the FIV response was found to be desynchronised over the entire U* range. The findings indicate that body vibration is strongly coupled with the oscillatory separating shear layers for all a cases, which can result in significant vibration. (C) 2019 Elsevier Ltd. All rights reserved.