Drug delivery carriers have been popularly employed to improve solubility, stability, and efficacy of chemical and biomolecular drugs. Despite the rapid progress in this field, it remains a great challenge to develop an ideal carrier with minimal cytotoxicity, high biocompatibility and intelligence for targeted controlled release. The emergence of DNA nanotechnology offers unprecedented opportunities in this regard. Due to the unparalleled self-recognition properties of DNA molecules, it is possible to create numerous artificial DNA nanostructures with well-defined structures and DNA nanodevices with precisely controlled motions. More importantly, recent studies have proven that DNA nanostructures possess greater permeability to the membrane barrier of cells, which pave the way to developing new drug delivery carriers with nucleic acids, are summarized. In this Concept, recent advances on the design and fabrication of both static and dynamic DNA nanostructures, and the use of these nanostructures for the delivery of various types of drugs, are highlighted. It is also demonstrated that dynamic DNA nanostructures provide the required intelligence to realize logically controlled drug release.