We report a novel thermally responsive system from poly(butyl methacrylate)-b-poly(methacrylic acid)-b-poly(butyl methacrylate) (PBMA-b-PMAA-b-PBMA) triblock copolymer in dimethylformamide (DMF) solvent. This system shows a sol-gel transition by cooling below a critical temperature Tc. The network relaxation time of these gels rightly fall in the typical rheological experiment window, permitting us to investigate the relaxation dynamics and underlying mechanism, with a combination of linear rheology, time-resolved small-angle X-ray scattering (SAXS), and temperature-elevated nuclear magnetic resonance (NMR) measurements. Both time-temperature superposition (TTS) and time-concentration superposition (TCS) are well hold in this system. The relaxation dynamics at temperatures below and above Tc are quite different, giving two different activation energy E1a and E2a, respectively. The 2 E1a, being polymer concentration independent, is related to micelle formation of end blocks, while the concentration dependent E2a is related to the chain friction of entangled polymer solution. By coupling linear rheology, SAXS, and NMR, we quantitatively estimated the fraction of bridge, loop, and dangling chains. The longest relaxation time of the gel, τL, strongly depends on polymer concentration, attributing to the increased connectivity of micellar network. By combining the shift factors aT and aC determined from TTS and TCS, respectively, we can obtain the τL at any given temperature and concentration from that at reference temperature and concentration.