Activated transcription of the bacteriophage T4 late genes, which is coupled to concurrent DNA replication, is accomplished by an initiation complex containing the host RNA polymerase associated with two phage-encoded proteins, gp55 (the basal promoter specificity factor) and gp33 (the coactivator), as well as the DNA-mounted sliding-clamp processivity factor of the phage T4 replisome (gp45, the activator). We have determined the 3.0 Å-resolution X-ray crystal structure of gp33 complexed with its RNA polymerase binding determinant, the β-flap domain. Like domain 4 of the promoter specificity σ factor (σ(4)), gp33 interacts with RNA polymerase primarily by clamping onto the helix at the tip of the β-flap domain. Nevertheless, gp33 and σ(4) are not structurally related. The gp33/β-flap structure, combined with biochemical, biophysical, and structural information, allows us to generate a structural model of the T4 late promoter initiation complex. The model predicts protein/protein interactions within the complex that explain the presence of conserved patches of surface-exposed residues on gp33, and provides a structural framework for interpreting and designing future experiments to functionally characterize the complex.