In order to reduce the handover cost due to network densification, this letter proposes an anchor-based multi-connectivity (MC) architecture and derives compact expressions of handover probabilities (HOPs) through stochastic geometry analysis in user-centric network (UCN). For MC a given user connects with multiple access points (APs), and the best one is chosen as a handover anchor to provide control-plane, which reduces the handover rate. Moreover, HOPs are quantified for a typical user moving with a random direction and a fixed speed in an irregular UCN with APs modeled as a Poisson point process. The simulation and analytical results show that the HOP in control-plane achieves a decrease of more than 40% over the traditional handover scheme in the LTE system.