The solutions of the dual bending energy functional on the dual unit sphere S 2 ⊂ D 3 are investigated. Dual spherical elastica is characterized by the dual Euler-Lagrange equation by using techniques of calculus of variation. The real and dual parts of the dual Euler-Lagrange differential equation are solved by different methods. Dual spherical elastica is shown to correspond to the elastic strip constituted by planar elastica in R 3 .