Research　on　inter-prediction　algorithms　is　an　important　respect　in　the　real-time　video　codec　technology.　In　the　regarded　studies,　the　prediction　error　can　be　reduced　by　incorporating　high　accuracy　estimation　and　compensation　algorithms.　So　the　performance　of　compressed　video　can　be　improved.　However,　this　brings　a　considerable　cost　for　the　complexity　of　encoder.　The　computation　complexity　is　mainly　due　to　the　complexity　of　motion　estimation.　The　paper　presents　an　improved　algorithm　with　the　initialized　searching　point　prediction,　half-stop　principle,　beforehand　skip　mode　decision,　reduced　search　window　and　optional　search　model.　This　algorithm　for　the　integer-pixel　motion　estimation　is　provided　to　reduce　computation　complexity　in　the　block-matching　process.　Experimental　results　show　that　the　proposed　algorithm　can　reduce　about　64%-73%　of　computation　complexity　compared　to　full　search　but　only　with　little　PSNR　degradation.