We report on the results of timing and spectral studies of Nuclear Spectroscopic Telescope Array (NuSTAR) observations of six TeV emitting high frequency peaked blazars: 1ES 0347−121, 1ES 0414+009, RGB J0710+591, 1ES 1101−232, 1ES 1218+304 and H 2356-309. Two out of six TeV blazars have shown strong evidences of intraday variations in 3–79 keV energy range. We also found hint of intraday variability timescale of 23.51 ks in 1 LC of 1ES 1218+304 using autocorrelation function analysis. We obtained magnetic field B ∼ 0.03 G, electron Lorentz factor γ ∼ 2.16 × 10 6 and emission region size R ∼ 1.19 × 10 16 cm for 1ES 1218+304 using the variability timescale. The other blazars LCs do not show any variability timescales shorter than their observation lengths, however, data were both noiser and sparser for them. We also investigated the spectral shape of these TeV blazars and found that the spectra of 1ES 0414+009 is well described by the single power-law with photon index Γ ∼ 2.77. The spectra of other five HBLs are better represented by log-parabola model
with local photon index (at 10 keV) α ∼ 2.23 − 2.67 and the curvature β ∼ 0.27 − 0.43.