The application of the speckle interferometric technique to spectrosco
pic observation enables us to obtain the objective spectrum of a stell
ar object with high spatial resolution under atmospheric turbulence. I
n our method an object and its spectrum are reconstructed with high sp
atial resolution from the speckle interferograms and their dispersed s
pecklegrams which are simultaneously recorded. The method is applied t
o observations of binary stars, of which spectra are hardly separated
spatially by ordinary spectroscopic methods. The reconstructed spectra
of phi And, a binary star of angular separation of 0.53'' reveal that
the primary star has an Halpha emission line, while the secondary has
an Halpha absorption line. The reconstructed image of phi And along w
ith the objective spectra clearly shows that our method affords imagin
g spectroscopy with high spatial resolution.