To provide a stacking-destacking device of a vessel having high processing capacity capable of continuously stacking and destacking the vessel at a high speed.

A guide rail 7 is arranged for projecting a fixing member 6 in the direction of a predetermined section vessel B in the middle when the fixing member 6 installed on oppositely rotating left-right endless chains 2 moves on the vessel B side, and a support member 9 for supporting the lowest stage of the vessel B stacked in the height lower a little than the upper end of a predetermined section of the guide trail 7, is arranged so as to be capable of advancing and retreating in the vessel B direction. The support member 9 is retreated after the fixing member 6 separates from the support member 9 by pushing up an upper vessel B by the lifted vessel B in stacking, and afterwards, when the vessel B of the lowest stage comes to a position supportable by the support member 9, the support member 9 is advanced. After the fixing member 6 lifts the vessel B of the lowest stage a little in destacking, the support member 9 is retreated. Afterwards, after the vessel B of the lowest state passes through the support member 8 downward, the support member 9 is advanced.