Korsh-type bi-spectral anastigmatic telescope (10) having an optical axis (O) and comprising. -a visible channel comprising three mirrors, a first mirror (M1) concave, a second mirror (M2) convex and a third mirror (M3) concave and a visible detector (D) sensitive in a visible band, the mirrors being arranged so that the first mirror (M1) and the second mirror (M2) form of an object at infinity an intermediate image located between the second mirror and the third mirror, the third mirror (M3) forming of this intermediate image a final image in the visible focal plane (PF) of the telescope in which the visible detector (D) is placed, an infrared channel comprising the first and the second mirror in common with the visible channel, a third IR mirror (M3ir), a fourth mirror IR (M4ir), and an IR detector (Dir) sensitive in an infrared band, the third and the fourth IR mirror being configured to form of said intermediate image a final image in an IR focal plane (PFir) of the telescope in which is placed the IR detector (Dir), the form es and positions of the third and fourth IR mirror being determined from the generalized Korch equations to 4 mirrors with the constraint of the first and second mirror (M1, M2) common with the visible channel. Figure for the abstract: Fig. 5
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