We have detected pulsed emission from the Vela pulsar at 2-30 keV during a
93 ks observation with the Rossi X-Ray Timing Explorer (RXTE). The RXTE pul
se profile shows two peaks, which are roughly in phase with the EGRET peaks
, but does not show any significant interpeak emission. The phase of peak 2
is energy dependent, moving to higher phase with increasing energy in the
RXTE band, in phase alignment with the second optical pulse in the lowest e
nergy band (2-8 keV) and in phase alignment with the second EGRET pulse in
the highest energy band (16-30 keV). The average pulse spectrum joins smoot
hly to the high-energy spectrum of OSSE, COMPTEL, and EGRET, although the s
pectrum of peak 1 is significantly harder than that of peak 2. A break or t
urnover in the spectrum around 50 keV, previously suggested by OSSE data, i
s now clearly defined. The RXTE spectrum falls several orders of magnitude
below the ROSAT emission in the 0.1-2 keV band, suggesting a thermal origin
for the ROSAT pulse.