The intrinsically disordered N-terminal region of the E7 protein from high-risk human papillomavirus (HPV) strains is responsible for oncogenic transformation of host cells through its interaction with a number of cellular factors, including the TAZ2 domain of the transcriptional coactivator CREB-binding protein. Using a variety of spectroscopic and biochemical tools, we find that despite its nanomolar affinity, the HPV16 E7 complex with TAZ2 is disordered and highly dynamic. The disordered domain of HPV16 E7 protein does not adopt a single conformation on the surface of TAZ2 but engages promiscuously with its target through multiple interactions involving two conserved motifs, termed CR1 and CR2, that occupy an extensive binding surface on TAZ2. The fuzzy nature of the complex is a reflection of the promiscuous binding repertoire of viral proteins, which must efficiently dysregulate host cell processes by binding to a variety of host factors in the cellular environment.