Biomaterial vehicles have the potential to facilitate cell transplantation in the central nervous system (CNS). We have previously shown that highly tunable ionic diblock copolypeptide hydrogels (DCH) can provide sustained release of hydrophilic and hydrophobic molecules in the CNS. Here, we show that recently developed non-ionic and thermoresponsive DCH called DCH_T exhibit excellent cytocompatibility. Neural stem cell (NSC) suspensions in DCH_T were easily injected as liquids at room temperature. DCH_T with a viscosity tuned to prevent cell sedimentation and clumping significantly increased the survival of NSC passed through injection cannulae. At body temperature, DCH_T self-assembled into hydrogels with a stiffness tuned to that of CNS tissue. After injection in vivo, DCH_T significantly increased by three-fold the survival of NSC grafted into healthy CNS. In injured CNS, NSC injected as suspensions in DCH_T distributed well in non-neural lesion cores, integrated with healthy neural cells at lesion perimeters and supported regrowing host nerve fibers. Our findings show that non-ionic DCH_T have numerous advantageous properties that make them useful tools for in vivo delivery of cells and molecules in the CNS for experimental investigations and potential therapeutic strategies.