Turbulence convection can be driven by buoyancy and/or vertical wind shear. The former is defined as free convection, while the later is usually referred to as forced convection. While most study focused on free convective boundary layers, less attention has been paid to convective boundary layer driven by wind shear. This presentation will discuss some of the distinctive characteristics of the marine convective boundary layer with dominant wind shear. The measurement was made during the Southern Hemisphere Aerosol Characteristics Experiment (ACE-1) south of Tasmania, Australia by the C-130 research aircraft operated by the National Center for Atmospheric Research (NCAR). We will look into the eddy structures in these convective boundary layers in addition to the turbulence statistics. Properties of the entrainment eddies in the boundary layer in the shear-driven convection case will also be presented. The observed case is also simulated using a Large Eddy Simulation (LES) model to reveal the 3-dimension eddy structure at a vertical resolution much higher than in situ aircraft observations. Discussions will be given on parameterizations of entrainment in the shear-driven convective boundary layers