<p>The determination of the elastic field in perforated structures under internal loading plays a significant role in multiple branches of engineering and applied sciences. This paper presents a modified linear-elasticity-based closed-form solution for the stress field in a soft elastic matrix containing a pressurized hole of arbitrary shape under plane deformation condition. In classical pressurized hole problems, the hoop stress, which is the primary contributor to stress concentration, is independent of the stiffness of the surrounding elastic matrix. To address this limitation, we introduce an improved closed-form solution that accounts for changes in the direction of the traction induced by internal pressure during deformation. This solution incorporates the ratio of internal pressure to material modulus. To assess the validity and improvement of the proposed solution over the classical counterpart, large-deformation finite element simulations are performed for pressurized oval, squircular, and regular polygon holes in a Neo–Hookean hyperelastic material. The numerical results show that, compared with the classical solution, our modified solution provides more accurate predictions of the local hoop stress. Furthermore, the modified solution captures, to some extent, the nonlinear elastic response of the matrix caused by internal pressure. Numerical examples also demonstrate that primary differences between the modified solution and the classical solution in predicting the hoop stress at the vertices of regular polygonal holes relative to the sharpness of the corners.</p>