  We discuss a strong relationship between Majorana fermions and odd-frequency
Cooper pairs which appear at a disordered normal (N) nano wire attached to a
topologically nontrivial superconducting (S) one. The transport properties in
superconducting nano wire junctions show universal behaviors irrespective of
the degree of disorder: the quantized zero-bias differential conductance at
2e^{2}/h in NS junction and the fractional current-phase (J-\varphi)
relationship of the Josephson effect in SNS junction J\propto \sin(\varphi/2).
Such behaviors are exactly the same as those in the anomalous proximity effect
of odd-parity spin-triplet superconductors. We show that odd-frequency Cooper
pairs support the universal transport properties. The odd-frequency pairs exist
wherever the Majorana fermions stay.
