Tip vortex cavitation around the marine propeller is the primary source of the underwater noises emitted by ships. Investigating the tip vortex inception is important to understand the aforementioned side effect. The water quality, highly related to the bubbles population, surrounding the tip vortex is crucial to the tip vortex cavitation inception. This research explores how bubble moves around the tip vortex and investigates its background mechanisms. A one-way coupled Lagrangian bubble tracking model is applied to the Lamb-Oseen vortex and the hydrofoil tip vortex flow field, where the tip vortex is simulated with an open-usage CFD software, ReFRESCO. A series of capture time models have been developed by exploiting the bubble force (acceleration) balance in the Lamb-Oseen vortex to identify the crucial parameters. The other aspect of the acceleration analysis reflects the role of the lift force as the system's stabilizer, which has long been ignored. In the CFD tip vortex flow simulation, the bubble population evolution is investigated from upstream to downstream. Several kinds of bubble behaviors around the tip vortex flow have been identified via the numerical simulation, and simplified models based on the bubble force analysis have been proposed in order to explain them. Mainly due to the stagnation bubble events, clustering of large bubbles has been discovered a short distance downstream of the foil tip, implying that this may be a possible hotspot for tip vortex cavitation inception. The stagnation bubble phenomenon still needs to be further investigated, particularly in terms of quantifying its dependence on various flow parameters. The results also need to be rigorously validated which has not been possible as of yet due to insufficient measurement data. Still, this research manages to explore the bubble motion around the tip vortex and their fundamental mechanism.