We present results of the ASCA deep-exposure observations of the hardest X-
ray source discovered in the ASCA Large Sky Survey (LSS) project, designate
d as AX J131501 + 3141. We extract its accurate X-ray spectrum, taking into
account the contamination from a nearby soft source (AX J131502 + 3142) se
parated from it by only 1'. AX J131501 + 3141 exhibits a large absorption o
f N-H = 6(-2)(+4) x 10(22) H cm(-2), with a photon index Gamma = 1.5(-0.6)(
+0.7). The 2-10 keV flux was about 5 x 10(-13) ergs cm(-2) s(-1), and was t
ime variable by a factor of 30% in 0.5 yr. From the highly absorbed X-ray s
pectrum and the time variability, as well as the results of the optical fol
low-up observations, we conclude that AX J131501 + 3141 is a type 2 Seyfert
galaxy. Discovery of such a low-flux and highly absorbed X-ray source coul
d have a significant impact on our understanding of the origin of the cosmi
c X-ray background.