Pagodas are heritage structures generally found in India, China, and Southeast Asian countries. They are tall multi-tiered structures with unique geometry, materials and construction form. Generally, Pagoda structures have a wide base at the bottom and the width tapers down gradually with the height. They are primarily constructed with stone masonry. Pagoda structures may be either solid or hollow inside. Pagoda structures possess significant heritage value in addition to religious significance. Pagodas were constructed centuries ago and conservation of these structures is of utmost importance. Towards this direction, this study considers the Global Vipassana Pagoda structure located in Mumbai, India. Global Pagoda is the largest stone masonry dome in India. This unique Pagoda is a three-tier structure, with three domes constructed one above the other. At the bottom, a hemispherical dome with a diameter of 85 m is present. Two conical domes are present above the hemispherical dome. The overall height of the structure is about 90.37 m. The dome shell consists of three layers, the inner core has basalt–lime–surkhi rubble masonry, and the inner and outer exterior layers are made up of sandstone masonry. To assess its structural behavior under self-weight, a 3D model of Pagoda has been generated in FEA-based ABAQUS software using as-built drawings. The deviations from ideal geometry are discussed in details. The material (mortar) properties are evaluated using experimental tests on masonry core samples. Random rubble masonry properties are evaluated using constitutive relations available in the literature considering mortar and stone properties evaluated experimentally. The linear static stress analysis of Pagoda has been conducted using its self-weight, assuming that it is fixed at the base. The maximum stresses and displacements generated under its gravity load and its locations are computed. Finally, the performance of the Global Pagoda structure is assessed by comparing the maximum principal stresses obtained from the simulation and the permissible stress limits of the material constituents used in the structure.