Using the three-dimensional lattice Boltzmann approach, condensation heat transfer on hierarchical microstructured surfaces is modelled. The effects of the variation of parameters such as primary micropillar spacing, secondary micropillar position and height, surface wettability and subcooling on the condensation heat transfer are discussed in detail. As the primary micropillar spacing increases, the condensation heat flux first increases and then decreases. The smaller the spacing, the easier it is for droplets to nucleate at the top of primary micropillars, and when secondary micropillars are positioned on the lateral sides of primary micropillars, the droplets tend to preserve the Cassie-Baxter condition. The heat flux initially increases but then drops as the height of the secondary micropillar rises, and at h⁺_s = 2.22, the heat transfer performance is at its best. The condensate droplet state switches from the Wenzel state to the partial wetting state when the contact angle rises from 57° to 130°. Four types of droplet nucleation sites exist on the hierarchical microstructured surface: at the bottom of secondary micropillars, at the corner between primary micropillars and substrate, between two adjacent primary micropillars, and at the center of substrate between four primary micropillars. When Ja number rises from 0.071 to 0.145, q"_st and m⁺_r rise by 243% and 203% in accordance.