The unique structure of single-layer reticulated aluminum domes allows for an even distribution of tension throughout their whole structures to support their own weights. Two different methods are used to determine the effects of different loads on the single-layer reticulated aluminum domes. The first method uses sensors attached to the dome and the second method uses software simulation; the second method was used in this study. To obtain a better understanding of the maximum and minimum principal stresses, we conducted the parametric analyses of domes through simulations using the finite element method (FEM) software ANSYS Workbench to improve our understanding of the maximum and minimum principal stresses, stress distributions, and maximum deformations of designed single-layer reticulated domes under four different load conditions (static, average live, uneven live, and wind loads). Mixed-type reticulated domes with the hybrid structure of the Kiewitt and joint-square types were adopted in this study. In finite element method (FEM) analyses, the designed domes were subjected to six different load conditions to simulate their three principal stresses and maximum deformations. The purpose was to determine whether the 6061-T6 aluminum alloy material used in the domes would fail by reaching its yield strength. The analysis results showed that when the six different load conditions were applied to two types of dome, their maximum stresses were much smaller than the maximum stress of the material used, and the two designed domes met safety specification standards.