Intelligent　electric　vehicle　longitudinal　motion　energy　optimization　can　save　energy　and　improve　vehicle　performance.　In　order　to　accurately　obtain　the　energy　consumption　of　the　vehicle,　the　energy　consumption　optimization　problem　of　the　longitudinal　motion　was　solved　based　on　Radau　pseudo-spectral　method.　The　longitudinal　motion　model　and　energy　consumption　model　was　established.　Combined　with　the　boundary　constraints　and　path　constraints,　energy　consumption　optimization　optimal　control　problem　was　found.　The　longitudinal　optimum　speed　trajectory　was　obtained　by　solving　the　problem　of　minimum　energy　consumption.　This　trajectory　was　used　as　the　desired　speed　input,　the　speed　tracking　control　was　achieved　based　on　the　model　predictive　control　(MPC)　algorithm.　The　experimental　results　show　that,　a　pure　electric　vehicles　as　an　example,　the　policy　in　this　paper　can　get　continuous　power　consumption　value　of　vehicles　traveling,　the　longitudinal　motion　with　energy-optimized　can　reduce　energy　consumption,　and　the　effectiveness　of　the　strategy　is　verified.　©　2016,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.