We report timing and spectral properties of the transient Be X-ray pulsar EXO 053109–6609.2 studied using observations made with the ASCA and Beppo-SAX observatories . Though there must have been at least one spin-down episode of the pulsar since its discovery , the new pulse period measurements show a monotonic spin-up trend since 1996 . The pulse profile is found to have marginal energy dependence . There is also evidence for strong luminosity dependence of the pulse profile , a single peaked profile at low luminosity that changes to a double peaked profile at high luminosity . This suggests a change in the accretion pattern at certain luminosity level . The X-ray spectrum is found to consist of a simple power-law with photon index in the range of 0.4–0.8 . At high intensity level the spectrum also shows presence of weak iron emission line .