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Diagonal and transition magnetic moments of the negative parity, spin-1/2heavy baryons are studied in framework of the light cone QCD sum rules. Byconstructing the sum rules for different Lorentz structures, the unwantedcontributions coming from negative (positive) to positive (negative) paritytransitions are removed. It is obtained that the magnetic moments of allbaryons, except $\Lambda_b^0$, $\Sigma_c^+$ and $\Xi_c^{\prime +}$, are quitelarge. It is also found that the transition magnetic moments between neutralnegative parity heavy $\Xi_Q^{\prime 0}$ and $\Xi_Q^0$ baryons are very small.Magnetic moments of the $\Sigma_Q \to \Lambda_Q$ and $ \Xi_Q^{\prime \pm} \to\Xi_Q^\pm$ transitions are quite large and can be measured in furtherexperiments.

Diagonal and transition magnetic moments of negative parity heavy baryons in QCD sum rules