The　doping　energies　and　electronic　structures　of　B,　N,　Si,　P,　and　Co　in　C-50　and　C-70　were　investigated　using　the　density　functional　theory　(DFT)-B3LYP/6-31G*　method,　and　the　structural　stabilities　of　doped　fullerenes　were　investigated　based　on　curvature　theory　and　the　electronic　structures.　The　calculated　results　showed　that　the　doping　energies　decreased　with　increasing　curvature,　and　increased　with　increasing　atomic　radius　of　the　doping　species.　Doping　with　B,　N,　P,　and　Co　stabilized　the　C-50　structure.　However,　doping　with　B　and　N　was　disadvantageous　for　the　structural　stability　of　Cm.　The　doping　reactivities　were　mainly　determined　by　the　curvature　and　related　to　the　percentage　of　nonequivalent　carbon　atoms　in　the　highest　occupied　molecular　orbital　(HOMO),　and　a　large　percentage　was　beneficial　for　the　doping　stability.　In　addition,　whether　the　doped　atoms　accepted　or　lost　electrons　depended　on　their　electronegativity.　This　work　will　be　helpful　for　the　stabilization　of　fullerene　structures　in　experiment.