  We use 106 $\ipb$ of data collected with the Collider Detector at Fermilab to
search for narrow-width, vector particles decaying to a top and an anti-top
quark. Model independent upper limits on the cross section for narrow, vector
resonances decaying to $\ttbar$ are presented. At the 95% confidence level, we
exclude the existence of a leptophobic $\zpr$ boson in a model of
topcolor-assisted technicolor with mass $M_{\zpr}$ $<$ 480 $\gev$ for natural
width $\Gamma$ = 0.012 $M_{\zpr}$, and $M_{\zpr}$ $<$ 780 $\gev$ for $\Gamma$ =
0.04 $M_{\zpr}$.
