Stimuli-responsive polymer gels and their application to smart materials have been widely studied. On the other hand, as a novel biomimetic gel, we developed gels with an autonomous self-oscillating function like a heart muscle, which was firstly reported in 1996. We designed the self-oscillating gels by utilizing the oscillating reaction, called the Belousov-Zhabotinsky (BZ) reaction which is recognized as a chemical model of the TCA cycle in organisms. The selfoscillating gel is composed of a poly(N-isopropylacrylamide) network in which the metal catalyst for the BZ reaction is covalently bonded. In a closed solution containing the reactants other than the catalyst, the gel undergoes spontaneous cyclic swelling-deswelling changes without any on-off switching of external stimuli. Their potential applications include several kinds of functional material systems, such as biomimetic soft-actuators and autonomous mass transport systems. Here recent progress on the novel polymer gels is introduced.