A system for assembling aircraft is disclosed. An example system for moving components of an airplane into assembly alignment includes a jacking system including assembly jacks for supporting and moving components of the airplane into assembly alignment; a measurement system independent of the jacking system for determining locations of a plurality of features the components of the airplane while the components are supported on the assembly jacks; and a computer system for determining the relative positions of the components in a coordinate system of the airplane and for controlling the movement of the assembly jacks to bring the components into assembly alignment.