The results of a search for solar axions from the Korea Invisible Mass Search (KIMS) experiment at the Yangyang Underground Laboratory are presented. Low-energy electron-recoil events would be produced by conversion of solar axions into electrons via the axio-electric effect in CsI(Tl) crystals. Using data from an exposure of 34,596 $rm kg cdot days$, we set a 90 % confidence level upper limit on the axion-electron coupling, $g_{ae}$, of $1.39 times 10^{-11}$ for an axion mass less than 1 keV/$rm c^2$. This limit is lower than the indirect solar neutrino bound, and fully excludes QCD axions heavier than 0.48 eV/$rm c^2$ and 140.9 eV/$rm c^2$ for the DFSZ and KSVZ models respectively.
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