This research examines the performance of two- and four-story steel building models against progressive collapse in two cases: 1) skewed beam–column connections and 2) straight cleated beam–beam connections. Nonlinear static and dynamic analyses were performed and then a time history analysis was performed under the simultaneous effect of the two horizontal components of three earthquake records and two column removal scenarios. The results showed that the 60-degree skewed connection had a weaker performance than the straight connection and, according to the plastic hinge distribution, it was observed that the mentioned connection did not meet the life safety performance level.