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Variability is a prominent observational feature of blazars. The high-energyradiation mechanism of jets has always been important but still unclear. Inthis work, we performed a detailed analysis using Fermi-LAT data across 15years and obtained GeV light curve information for 78 TeV blazars detected byFermi. We provided annual GeV fluxes and corresponding spectral indices for the78 TeV blazars and thorough monthly GeV fluxes for a subsample of 41 brightblazars. Our results suggest a strong correlation between the ${\gamma}$-rayphoton index and $\log L_{\rm \gamma}$ for the flat spectrum radio quasars(FSRQs) and high-energy-peaked BL Lacs (HBLs). 14 sources in our sample showsignificant GeV outbursts/flares above the relatively stable, low-flux lightcurve, with 6 of them showing a clear sharp peak profile in their 5-day binnedlight curves. We quantified the variability utilizing the fractionalvariability parameter $F_{\mathrm{var}}$, and found that the flux of the FSRQsshowed significantly stronger variability than that of the BL Lacs. The 41bright blazars in this work are best fit by a log-normal flux distribution. Wechecked the spectral behavior and found 11 out of the 14 sources show a'bluer-when-brighter (BWB)' trend, suggesting this spectral behavior for theseTeV blazars at the GeV band arises from the mechanism that the synchrotron-selfCompton (SSC) process dominates the GeV emission. Our research offers asystematic analysis of the GeV variability properties of TeV blazars and servesas a helpful resource for further associated blazar studies.

GeV Variability Properties of TeV Blazars Detected by Fermi-LAT