The invention discloses self-adaptive cable cranes for extra large space-cross cable face suspension bridge girder erection. Each of two main cables of a suspension bridge is provided with one cable crane. The two cable cranes are oppositely arranged. Each cable crane comprises a main box girder system and a lazy arm system, wherein the main box girder system comprises a first box body, a second box body and a first beam column, and the lazy arm system comprises an L-shaped lazy arm and a connecting device. In the construction process of the self-adaptive cable cranes, the two cable cranes are used in a matched manner and can adapt to the span change of the space cables by themselves, meanwhile, a walking type walking system walks stably and efficiently, a winch is arranged outside the cable cranes, and the weight of the cable cranes is reduced; and meanwhile the lazy arm system and a reverse hanging construction platform can effectively bypass a catwalk, and it is guaranteed that the cable cranes walk without obstacles.