In the light dark matter (DM) scenario of the MSSM, the DM relic density puts non-trivial requirements on the spectrum of supersymmetric particles. As a result, the direct search for multi-lepton signals at the LHC has great impact on the scenario. In this work, we concentrate on the searches for sleptons and electroweak-inos at the LHC, investigate their constraints on the light DM scenario with the 8 TeV LHC data, and also study their capability to test the scenario at the 14 TeV LHC. For this purpose, we first get the samples of the scenario by scanning the vast parameter space of the MSSM with various available constraints considered. Then for the surviving samples, we simulate the 2l +E miss T signal from slepton pair production process and the 2l + E miss T and 3l + E miss T signals from chargino and neutralino associated production processes at both the 8 TeV LHC and the 14 TeV LHC. Our simulations indicate that the 8 TeV LHC data have excluded a sizable portion of the samples, and the capability of the 14 TeV LHC will be much more powerful in testing the scenario. For example, in case that no excess of the multi-lepton signals is observed at the 14 TeV LHC, most samples of the light DM scenario will be excluded, especially a lower limit on the lightest neutralino mass will be set at 42 GeV and 44 GeV with 30 fb −1 and 100 fb −1 data respectively, and this limit can be further pushed up to 55 GeV with 300 fb −1 data.