In microforming, the interface behaviour between die and workpiece is an important factor which determines the forming limit of the process and the quality of the formed product. In this paper, the formability of a two-layer aluminium (Al)-copper (Cu) composite in micro deep drawing (MDD) process was studied under different lubrication conditions. Oil-based TiO2nanolubricant, oil lubricant and dry friction were chosen in this study to act as lubrication variables, and then the formability of the drawn cups under three lubrication conditions were investigated and compared. Also, Voronoi finite element (FE) models which consider size effects of materials were developed. The results show that Al-Cu composite has the best formability with TiO2nanolubricant. The simulation results agree well with the experimental results, which confirms the FE simulation is applicable for simulating the MDD process.