We propose three-dimensional carbon (3D-C) structures based on the Archimedean lattices (ALs) by combining sp 2 bonding in the polygon edges and sp 3 bonding in the polygon vertices. By first-principles calculations, four types of 3D-C ALs: (4, 8 2 ), (3, 12 2 ), (6 3 ), and (4 4 ) 3D-Cs are predicted to be stable both dynamically and mechanically among 11 possible ALs, in which the notations (p 1 , p 2 , . . .) are the indices of the AL structures. Depending on their indices, the 3D-C ALs show distinctive electronic properties: the (4, 8 2 ) 3D-C is an indirect band-gap semiconductor, the (3, 12 2 ) 3D-C is semimetal, while the (6 3 ) and (4 4 ) 3D-Cs are metals. Considering the structural deformation due to the changes in their electronic energy bands, we discuss the electromechanical properties of the 3D-C ALs as a function of charge doping. We find a semiconductor-to-metal and semimetallic-to-semiconductor transitions in the (4, 8 2 ) and (3, 12 2 ) 3D-Cs as a function of charge doping, respectively. Moreover, the (3, 12 2 ) 3D-C exhibits a sp 2 -sp 3 phase transformation at high charge doping, which leads to a huge 30% irreversible strain, while the reversible strain in the (4, 8 2 ) 3D-C is up to 9%, and thus they are quite promising for electromechanical actuators.