Biocompatible and bioresponsive microneedles (MNs) are emerging technology platforms for sustained drug release with a potential to be a key player in transdermal delivery of therapeutics. In this paper, an innovative biodegradable MNs patch for the sustained delivery of drugs using a polymer patch, which can adjust delivery rates based on its crosslinking degree, is reported. Gelatin methacryloyl (GelMA) is used as the base for engineering biodegradable MNs. The anticancer drug doxorubicin (DOX) is loaded into GelMA MNs using the one molding step. The GelMA MNs can efficiently penetrate the stratum corneum layer of a mouse cadaver skin. Mechanical properties and drug release behavior of the GelMA MNs can be adjusted by tuning the degree of crosslinking. The efficacy of the DOX released from the GelMA MNs is tested and the anticancer efficacy of the released drugs against melanoma cell line A375 is demonstrated. Since GelMA is a versatile material in engineering tissue scaffolds, it is expected that the GelMA MNs can be used as a platform for the delivery of various therapeutics.