For　quaternion　model　of　two-dimensional　harmonics,　the　singular　values　decomposition　(SVD)　method　of　quaternion　matrix　presented　to　estimate　frequency　pairs　of　twodimensional　harmonics.　This　method　may　estimate　the　number　of　signals　by　singular　values.　The　left　and　right　singular　vectors　of　quaternion　matrix　were　used　to　estimate　frequency　pairs.　This　method　needs　lesser　data　and　data　matrix　is　very　simple.　Simulations　show　that　this　method　can　decrease　computation　burden　effectively　than　other　methods.　©　2007　IEEE.