Spectra due to the Van der Waals complex (H₂)₂ have been obtained with greatly improved resolution, and analogous spectra of (D₂)₂ and H₂–D₂ have been observed. The experiments were conducted with an absorption path of 110 m in a multiple traversal cell at temperatures between 16 and 21 K. The spectra are manifested as fine structure accompanying the single and double H₂ (or D₂) transitions in the hydrogen (or deuterium) collision induced fundamental band. The observed structure for (H₂)₂ and H₂–D₂ can be unambiguously assigned to rotational transitions of the complex governed by the selection rule Δl = ± 1, ± 3, where l is the rotational quantum number of the complex. A detailed analysis must include anisotropic force effects, and is not given here. The spectrum of (D₂)₂ is complicated, not only by anisotropic force effects, but also by mutual perturbations between the rotational levels of the upper states of corresponding single and double D₂ transitions; for this reason, the assignments suggested are somewhat uncertain. An interesting intensity alternation apparent in part of the (D₂)₂ spectrum is explained as a simple effect of nuclear spin statistics in the pseudodiatomic molecule (D₂)₂.