  We present results from magnetic resonance measurements for 75-350 GHz in
$\alpha$'-NaV$_{2}$O$_{5}$. The temperature dependence of the integrated
intensity indicates that we observe transitions in the excited state. A
quantitative description gives resonances in the triplet state at high symmetry
points of the excitation spectrum of this Spin-Peierls compound. This energy
has the same temperature dependence as the Spin-Peierls gap. Similarities and
differences with the other inorganic compound CuGeO$_{3}$ are discussed.
