Herein, cellulose nanofiber (CNF) was employed as a green dispersant to enhance the dispersion of nanoclay in the epoxy matrix by preparing a hybrid nanofiller consist of CNF and nanoclay (Cloisite 30B) hereafter referred as hybrid nanofiller. The cure kinetics of the epoxy resin and diamino diphenyl methane as curing agent in presence of hybrid nanofiller was studied by isothermal rheokinetic analysis at four different temperatures. Intercalated and trapped nanoclay inside the CNF network morphology of the hybrid nanofiller resembles a trapped prey in spider web. The time-dependent rheological changes in elastic, viscous moduli, and complex viscosity growth during isothermal curing were explored from rheo-kinetics. The accelerating effect of the hybrid nanofiller toward epoxy curing was determined by the Arrhenius equation. The synergistic effect of hybrid nanofiller on the cure reaction causes a reduction in the activation energy. The hydrogen bonds between the hydroxyl groups of CNF and epoxies, along with the epoxide ring-opening catalyzed by the quaternary onium ion in nanoclay due to the unique morphology of the hybrid nanofiller, significantly lowered the activation energy required for curing. It was also found that the complex viscosity during the epoxy chain growth strictly follows an exponential growth and the characteristic relaxation time for the viscosity growth was well described by William–Landel–Ferry (WLF) equation. The high-resolution transmission electron microscopic images of the fabricated nanocomposite reveal the intercalated morphology of the nanoclay in the epoxy matrix. Correlation length and average length of the clay layers were determined to evaluate the degree of dispersion. The viscoelastic properties of the hybrid nanocomposites were studied and compared with that of respective binary nanocomposites of epoxy/nanoclay and epoxy/CNF. Quantification on the crosslink density, filler effectiveness ‘c’, degree of entanglement and peak factor was determined from DMA analysis.