  I report the detection of two X-ray sources of luminosities $\sim 10^{36}
{\rm~ergs~s^{-1}}$ in the central region of 30 Doradus. These two sources
appear point-like in images taken with the {\sl ROSAT} HRI. One of the sources
is most likely associated with a close spectroscopic binary R140a2 (WN6) with
an orbital period of 2.76 days. The mass of the unknown binary component is
likely in the range of $2.4 - 15{\rm~M}_\odot$. This suggests that the X-ray
source could represent a long-sought class of binaries containing a Wolf-Rayet
star and a black hole. The other source, which coincides spatially with Mk34
(WN4.5), may have a similar nature. Available X-ray spectral data support this
Wolf-Rayet + black-hole binary explanation of the two sources. I have used a
{\sl ROSAT} PSPC observation to show that the sources have ultrasoft spectra
with possible intrinsic absorption. Modeled with multicolor blackbody disks,
the spectra provide estimates of the disks' characteristic inner radii, which
are in agreement with those obtained for the known black-hole candidates. An
{\sl ASCA} observation has further revealed a hard X-ray spectral component
from the central 30 Doradus region. This component, represented by a power law
with a photon index of $\sim 2.4$, may belong to the two sources. The
characteristics of both the power-law and ultrasoft components strongly
indicates that the two sources are black-hole candidates in high-mass X-ray
binaries.
