For the first time we present the direct evidence for superconductivity in the ternary magnetic compound <$E roman {YFe sub 4 Al sub 8}> with the <$E roman ThMn sub 12> type structure found via point-contact experiments on contacts between silver needle and single-crystal <$E roman {YFe sub 4 Al sub 8}>, revealing the distinct Andreev-reflection current. The spectra measured prove the existence of normal-superconducting interface and exhibit the triangular-like shape in a vicinity of zero-bias voltage, inferring the unconventional type of superconductivity. The derived dependences of the order parameter versus temperature <$E DELTA (T)> and magnetic field <$E DELTA (H)> are presented. <$E DELTA (T)> follows BCS theory, whereas <$E DELTA (H)> do not satisfy any theoretical predictions. In some cases there exists noticeable superconductivity enhancement by a weak magnetic field. The data obtained imply the very inhomogeneous distribution of superconductivity over the sample volume in spite of its single crystal structure. We assume that the reason is associated with inherent magnetic inhomogeneities of this material. The highest values for the critical temperature <$E T sub c>, upper critical magnetic field <$E H sub c2>, and ratio <$E 2 DELTA (0) "/" kT sub c> are 7,4 K, 5 T, and 7,2, respectively.

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