A puncture planning apparatus has: a simulation unit that simulates movement of an organ and a puncture needle by simulation using an organ model; and a planning unit that plans, based on the simulation result, how to move the puncture needle when an actual organ is punctured. The simulation unit executes a plurality of times of the simulation of an operation to advance the puncture needle while correcting an angle of the puncture needle so as to follow the movement of the target segment due to deformation of the organ, conditions of an advancement speed of the puncture needle are changed for each of the plurality times of the simulation, and the planning unit performs planning using the best simulation result out of the plurality of simulation results acquired under different conditions of the advancement speed.