Hydrogen-bonded polymer complexes (HBPCs) form upon association of macromolecules via multiple intermolecular hydrogen bonds. The transient nature of their hydrogen bonding enables their responsiveness to external stimuli such as pH, temperature, and solvents or external fields. Here, hydrogen-bonded assemblies were obtained via the complexation of a triblock copolymer Pluronic® F127, with poly(methacrylic acid) (PMAA). Various rheological material functions of PMAA/F127 complexes, including dynamic properties, relaxation modulus, and shear viscosity, were characterized using steady torsional, oscillatory shear, step strain, compressive squeeze, and capillary flows. The structure of the HBPCs involves agglomerates of the hydrogen-bonded complexes, i.e. nanoclusters, connected by hydrogen bonding interactions. The strengths of the hydrogen bonds in the HBPCs could be manipulated via the exposure of these complexes to aqueous solutions at different pH levels and/or cosolvent concentrations, resulting in changes in the elasticity and viscosity of the HBPCs. Especially the ionization degree, the resultant ratio of the polyacid to F127, and the development of micro- and nanoscale porosity played significant roles in the manipulation of the rheological behavior of the HBPCs. Under low pH conditions, the PMAA/F127 HBPCs could be extruded from capillary dies with relatively small diameters (800–1500 μm) and high length over diameter ratios (40–60). Upon exit from capillary dies, the extrudates preserved their shape, albeit exhibiting flow instabilities and the associated bulk distortions at high shear rates. Under low pH conditions, the generalized Maxwell model described the relaxation modulus in the linear regime, and the Kaye-Bernstein, Kearsley and Zapas model was effective in the prediction of the shear viscosity of the HBPC. The self-healing behavior of PMAA/F127 complexes was demonstrated and linked to the pH-controllable hydrogen-bonding interactions between PMAA and F127.