The isolated 4.9 ms pulsar PSR J2124-3358 was observed with ASCA on 1998 Ma
y 9, and the X-ray spectrum in the 0.5-10 keV band was obtained. The X-ray
spectrum can be fitted with a single blackbody model with a temperature kT
= 0.31(-0.06)(+0.08)keV, although a simple power-law model with a relativel
y large photon index Gamma = 2.8(-0.5)(+0.6) cannot he rejected.