The accurate estimation of the pressure drop across a metal woven mesh is crucial for a filtration process. We therefore investigated the effect of the geometrical characteristics, namely, the weave type (plain weave and twilled weave), wire diameter, and number of meshes (number of wires per inch), on the flow resistivity. This was done by hybrid simulation using a combination of the lattice Boltzmann and immersed boundary methods (IB-LBM). It was found that, for a given aperture size of the woven mesh, the volume fraction increased with increasing wire diameter, with a consequent increase in the drag force. The volume fraction of the twilled weave mesh was bimodally distributed in the thickness direction, with the drag force at the second peak of the distribution lower than that at the first peak owing to the resistive loss at the first peak. This tendency became more pronounced with increasing Reynolds number. Based on these findings, we derived an equation for estimating the pressure drop, wherein the drag coefficient is expressed as a function of the volume fraction and Reynolds number. Based on the proposed equation, the relationship among the drag coefficient, volume fraction, and Reynolds number calculated from the experimentally determined pressure drop across the woven mesh was plotted as a single curve for each weave type. This enabled rational and highly accurate prediction of the pressure drop across the plain weave and twilled weave meshes.