Absolute cross sections for electron-impact single and multiple ionization of Ne+ leading to the formation of Neq+ (q = 2-5) are reported. The animated crossed beams method is applied in the energy range from the respective thresholds up to 2.5 keV. The maximum cross sections are found to be (4.12 +/- 0.21) x 10(-17) cm(2), (1.42 +/- 0.07) x 10(18) cm(2), (2.57 +/- 0.14) x 10(-20) cm(2), (8.78 +/- 0.54) x 10(-22) cm(2) for the multiply-charged products Neq+ (q = 2-5), respectively. The corresponding threshold energies are measured to be (41.0 +/- 0.5) eV, (105 +/- 1) eV, (205 +/- 5) eV and (345 +/- 15) eV. Present data are compared with available experimental and theoretical results.