Mechanical properties of nanoclay/epoxy composites (NC) have been studied by various experimental setups in bulk form recently. Creep mechanism of the NC is an important manufacturing criterion for the aircraft industry. In this paper, nanoindentation was employed to investigate the nano-mechanical creep effects on different wt. % of nanoclay contents in epoxy matrix. Creep behaviors of the nanoclay/epoxy composites with different wt. % of nanoclay contents were modeled by the power-law creep equation. Neglecting the temperature effects on creep, the stress exponents of tested composites were estimated.