The microtubule network of the cardiomyocyte exhibits specialized architecture, stability and mechanical behavior that accommodate the demands of working muscle cells. Stable, post-translationally detyrosinated microtubules are physical coupled to the sarcomere, the contractile apparatus of muscle, and resist sarcomere motion to regulate muscle mechanics and mechanosignaling. Control of microtubule growth and shrinkage dynamics represents a potential intermediate in the formation of a stable, physically coupled microtubule network, yet the molecular determinants that govern dynamics are unknown. Here we test the hypothesis that desmin intermediate filaments may stabilize growing microtubules at the sarcomere Z-disk in a detyrosination-dependent manner. Using a combination of biochemical assays and direct observation of microtubule plus-end dynamics in primary adult cardiomyocytes, we determine that: 1) tyrosination increases the frequency of microtubule depolymerization and reduces the pausing of microtubules at the Z-disk, leading to a more dynamic microtubule; and 2) desmin intermediate filaments stabilize both growing and shrinking microtubules specifically at the Z-disk and protect them from depolymerization. This stabilizes iteratively growing, detyrosinated microtubules between adjacent sarcomeres, which promotes the formation of high-energy microtubules that buckle between sarcomeres and elevates myocyte viscoelasticity. Our findings inform on how the tubulin code and intermediate filaments regulate microtubule dynamics, and provide mechanism to the establishment of a spatially organized, physically coupled, and long-lived microtubule network in the cardiomyocyte.