The geomechanical modelling of carbonate reservoir in Azzam Field of East Java Basin has been carried out using acoustic impedance and seismic velocity approach. The aim of this study is to construct three dimensional (3D) geomechanical model by considering pressure and mechanical rock properties. Integration between one-dimensional (1D) geomechanical data that came from logs and seismic attributes from 3D seismic data is carried out to build and distribute the geomechanical properties. In this study, we applied collocated co-kriging of Markov approximation to hard data (six wells data) in order to distribute geomechanical properties into 3D grid model. Soft data, which consists of acoustic impedance and seismic velocity, are used to constraint hard data from wells. This work is focused on Tuban formation that represents of the carbonates reservoir in this field comprising the full package of turbidite complex associated facies. The result from this study showed that Tuban formation are highly over pressured zone, which is indicated by pore pressure ranging from 3000 to 4334.85 psi. In addition this carbonate reservoir is indicated by Young modulus ranging from 289.883 - 3.7954e +07 kpa.