To induce intrinsic magnetism in the nominally nonmagnetic carbon materials containing only s and p electrons is an intriguing yet challenging task. Here, based on first-principles electronic structure calculations, we propose a universal approach inspired by Ovchinnikov's rule to guide us the design of a series of imaginative magnetic all-carbon structures. The idea is to combine the differently stacked graphene layers via the acetylenic linkages ( −C ≡ C − ) to obtain a class of two-dimensional (2D) and three-dimensional (3D) carbon networks. With first-principles electronic structure calculations, we confirm the effectiveness of this approach via concrete examples of double-layer ALBG-C 14 , triple-layer ALTG-C 22 , and bulk IALG-C 30 . We show that these materials are antiferromagnetic (AFM) semiconductors with intralayer Nél and interlayer AFM couplings. According to the above idea, our work not only provides a promising design scheme for magnetic all-carbon materials, but also can apply to other -bonding network systems.