A twocompartment neuron model with outside current feedback is considered in order to study the dynamics of bursting patterns. Firstly, on the base of numerical simulation, the behavior of phase synchronization for the spikes in the soma and dendrite compartments is investigated. Secondly, by using fastslow dynamics analysis, twoparameter bifurcation analysis of the fast subsystem is performed in the twoparameter plane. It is shown that three condimension2 bifurcation points are generated in the fast subsystem, i.e., foldHopf bifurcation ZH, cusp bifurcation CP and BogdanovTakens bifurcation BT. Finally, these condimension2 bifurcation points determine that different bursting oscillations occurs in the system, such as “fold/fold” type, “Hopf/Hopf” type, “Hopf/homoclinic” type and “fold/homoclinic” type. Furthermore, the generation and transition mechanisms of different bursting patterns are discussed. The results offer significant data for understanding the important role of the geometric parameter in the variety of neuronal firing activities