The motion of drops suspended in another fluid has a wide variety of practical applications. These include the flow of oil and water through pipelines, the recovery of oil through porous rock, the flow of slurries and polymer processing. The lateral migration of deformable particles in Poisseuile flow has been the subject of many investigations. The lateral migrations of immersed objects in carrier fluids are very important in traort processes, where mass, momentum and energy are exchanged. The lateralmigration of a buoyant drop in poisseuile flow is studied numerically in two dimensions.The mechanism of lateral migration for one drop was explained by Feng et al. The wall repulsion force which is known as a lubrication effect drives the drop to the channel centerline. A magnus type lift force acts on the drop which depends on drop rotation and drop slip velocity. The direction of this lift depends on whether the drop leads or laggs the flow. For density ratios less than unity the drop leads the flow and this force points towards the channel wall. When the density ratio is larger than one, the drop laggs the flow and the force is towards the channel centerline. The curvature of velocity profile also imposes a lateral force that always drives the drop to the channel wall. Besides, the inertia of flow develops a lateral force which is known as inertia lift (Saffman lift) that depends on the direction of the slip velocity. The equilibrium position of the drop is a result of balance between the aforementioned forces. It is found that the drop migrates to an equilibrium position which is close to the walls, for a slightly buoyant drop at density ratios less than one. If the drop is relatively more buoyant, the equilibrium position moves to the centerline. At density ratios greater than one the equilibrium position also moves to the centerline. The equilibrium position of drop depends on Froude number. The equilibrium position also depends on deformation and inertia of flow. When the Capillary number is raised, the equilibrium position moves away from the wall. The effect of Reynolds number onthe equilibrium position has been also studied by a few simulations. It is found that at relatively large Froude number the drop oscillate with finite amplitude inside the channel.At a relatively large Reynolds number (120) and moderate Froude number (43) drop shows oscillations across the channel and does not obtain a stable equilibrium position. The equilibrium position of drop agrees qualitatively with perturbation theories and numerical results available for solid particles. Suspensionsof buoyant drops at lowand moderate areal fractions are studied at non-zero Reynolds number in Poisseuileflow. The flow is studied as a function of the Capillary number, theReynolds number, theFroude number and density ratio .It is found that the effective viscosity decreases with Capillary number. The effective viscosity increases with Froude number at density ratios smaller than 1 andthe effective viscosity decreases with Froude number at densityratios greater than 1.The distribution and the fluctuation energy of drops across the channel are non-uniform for buoyant drops that depends on the Froude number. The density ratio also affects the distribution and fluctuation energy of drops across the channel. Effect of Reynolds number is same as Froude number. The difference between two area fractions is the degree of freedom of motion of drops in the low areal fraction. Keywords: Equilibrium position, Poisseuile flow, Density ratio, Froude number, Capillary number, suspension of buoyant drops