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An unknotting tunnel in a 3-manifold with boundary is a properly embedded arc, the complement of an open neighborhood of which is a handlebody. A geodesic with endpoints on the cusp boundary of a hyperbolic 3-manifold and perpendicular to the cusp boundary is called a vertical geodesic. Given a vertical geodesic
in a hyperbolic 3-manifold
, we find sufficient conditions for it to be an unknotting tunnel. In particular, if
corresponds to a 4-bracelet, 5-bracelet or 6-bracelet in the universal cover and has short enough length, it must be an unknotting tunnel. Furthermore, we consider a vertical geodesic
that satisfies the elder sibling property, which means that in the universal cover, every horoball except the one centered at
is connected to a larger horoball by a lift of
. Such an
with length less than
is then shown to be an unknotting tunnel.
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