Bioinspired strategies for designing hydrogels with excellent adhesive performance have drawn much attention in biomedical applications. Here, bioinspired adhesive hydrogels tackified by independent nucleobase (adenine, thymine, guanine, cytosine, and uracil) from DNA and RNA are successfully explored. The nucleobase‐tackified hydrogels exhibit an excellent adhesive behavior for not only various solid substrates (polytetrafluoroethylene, plastics, rubbers, glasses, metals, and woods) but also biological tissues consisting of heart, liver, spleen, lung, kidney, bone, and muscle. The maximum adhesion strength of A‐, T‐, G‐, C‐, and U‐tackified hydrogels on the aluminum alloy surface is 780, 166, 250, 227, and 433 N m−1, respectively, superior to that of pure PAAm hydrogels (40 N m−1) after adhesive time of 10 min. It is anticipated that bioinspired hydrogels will play a significant role in the applications of wound dressing, medical electrodes, tissue adhesives, and portable equipment. Moreover, the bioinspired nucleobase‐tackified strategy would open a novel avenue for designing the next generation of soft and adhesive materials.