The substitution of hydroxyproline for proline in position Y of the repeating Gly-X-Y tripeptide sequence of collagen-like poly(tripeptide)s (i.e., in the position in which Hyp occurs naturally) is predicted to enhance the stability of aggregates of triple helices, while the substitution of Hyp in position X (where no Hyp occurs naturally) is predicted to decrease the stability of aggregates. Earlier conformational energy computations have indicated that two triple helices composed of poly(Gly-Pro-Pro) polypeptide chains pack preferentially with a nearly parallel orientation of the helix axes [Nemethy, G., & Scheraga, H.A. (1984) Biopolymers 23, 2781-2799]. Conformational energy computations reported here indicate that the same packing arrangement is preferred for the packing of two poly(Gly-Pro-Hyp) triple helices. The OH groups of the Hyp residues can be accommodated in the space between the two packed triple helices without any steric hindrance. They actually contribute about 1.9 kcal/mol per Gly-Pro-Hyp tripeptide to the packing energy, as a result of the formation of weak hydrogen bonds and other favorable noncovalent interatomic interactions. On the other hand, the substitution of Hyp in position X weakens the packing by about 1.7 kcal/mol per Gly-Hyp-Pro tripeptide. Numerous published experimental studies have established that Hyp in position Y stabilizes an isolated triple helix relative to dissociated random coils, while Hyp in position X has the opposite effect. We propose that Hyp in position Y also enhances the stability of the assembly of collagen into microfibrils while, in position X, it decreases this stability.