  Only five binary systems have been found to emit at TeV energies. Each of
these systems is composed of a massive O or B type star and a compact object
(black hole or a pulsar). The type of compact object and the origin of the
gamma-ray emission is unknown for most of these systems. Extending spectral
observations to higher energies can help disentangle the nature of the compact
object as well as the particle acceleration mechanisms present. Interestingly,
the TeV emission from these systems does not always coincide with their
emission in GeV or X-ray, which is how many such systems have been originally
discovered. Increased coverage of these systems may allow HAWC to see precisely
when in the orbit the TeV emission begins and ends. The HAWC Observatory
detects TeV gamma-rays with high sensitivity, covering over two-thirds of the
overhead sky every day. Applying a stacking method to known TeV binary systems
can help HAWC enhance the signal from TeV binaries above the steady background
from other sources in the galaxy. We will present results from this stacking
analysis using 760 days of HAWC data.
