Ancient masonry structures are very important to carry cultural heritage to future generations. Therefore, it is very important to protect them against disasters like earthquakes. Ancient masonry structures are particularly vulnerable to dynamic actions, especially seismic actions. Antalya is located in a moderately seismic zone. Many earthquakes have occurred in this city in the last few decades. In this paper, three ancient historical masonry structures have been selected, which are located in different districts of Antalya. The selected structures were constructed of similar geometry. Structures were modeled by using the finite element software, SAP2000. Time history analyses were carried out using 10 real ground motion data on the models. Displacements and stress values were interpreted, and the results were displayed graphically and discussed.