We study the topology of the space of harmonic maps from S2 to \CP 2.Weprovethatthesubspacesconsistingofmapsofafixeddegreeandenergyarepathconnected.ByaresultofGuestandOhnitaitfollowsthatthesameistrueforthespaceofharmonicmapsto\CP nforn\geq 2.Weshowthatthecomponentsofmapsto\CP 2$ are complex manifolds.Comment: Plain TeX, 11 pages, no figure