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The time-like naked singularities of the electrically and magneticallycharged black hole solutions obtained in a model of nonlinear electrodynamicsproposed by Kruglov is investigated within the framework of quantum mechanics.In view of quantum mechanics, the space-time is quantum regular provided thatthe time evolution of the test quantum wave packet uniquely propagates on anunderlying background. Rigorous calculations have shown that when thesingularity is probed with specific quantum wave/particle modes, the quantumwave operator turns out to be essentially self-adjoint. Thus, the timeevolution of the quantum wave/particle is determined uniquely. In the case ofelectrically charged black hole background, the unique evolution is restrictedto s-wave only. For the two different magnetically charged black holebackgrounds, the time evolution is restricted to different modes for each case.

Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics