This paper numerically studied the coupled Marangoni convection and thermocapillary convection in a finite liquid layer (Pr = 11.6) in the microgravity conditions. The multi-cellular flow structure and the marginal instability boundary of the coupled convection are predicted. Oscillatory coupled convection is also reported in concave liquid layers of volume ratio between 0.80 and 0.85. [DOI:10.1016/j.ijheatmasstransfer.2011.12.030] The paper was published as: Li K;Tang ZM; Hu WR. Coupled thermocapillary convection on Marangoni convection in liquid layers with curved free surface. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 55(9-10):2726-2729(2012)