We studied the nature of a transient supersoft X-ray source (SSS), 1E 1339.
8+2837, in the globular cluster M3 (NGC 5272) using the ASCA data and the a
rchival ROSAT data. We found that 1E 1339.8+2837 was observed most of the t
ime as a CV-type X-ray source and had a hard energy spectrum approximated b
y a bremsstrahlung model of 5 keV. It switched to a high state only during
1991-92 at a luminosity of 10(35) erg s(-1), which is larger than that in t
he low state by nearly two orders of magnitude. We confirmed the very soft
energy spectrum characteristic of the SSS during the high state. Thus, 1E 1
339.8+2837 is considered to be a white-dwarf binary, making a transition be
tween the SSS and the CV. We discuss a possible model of 1E 1339.8+2837, a
dwarf nova including a massive white dwarf.