We performed a search for non-standard model $t \bar t$ resonances in the
all jets final state channel. The main goal was to examine top-antitop
invariant mass spectrum for the presence of narrow resonant states. The data
analysis used 2.8$fb^{-1}$ of CDF data; events were produced at the Tevatron
collider in $p \bar p$ collisions with center-of-mass energy of 1.96 TeV.
2086 data events were analyzed and compared to Standard Model expectation.
No evidence for new $t \bar t$ resonant production mechanisms was found.
Upper limits were placed on the cross-section times branching ratio
for resonance production at 805 $GeV/c^2$. For signal modeling we considered
leptophobic Z' boson in a topcolor-assisted technicolor model with the width
of $\Gamma = 1.2$\%$ M_{X0}$.
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