The tunneling density of states of high-T_c superconductors is calculated taking into account the tight binding band structure, group velocity, and tunneling directionality for s-wave and d-wave gap symmetry. The characteristic density of states has asymmetry of the quasiparticle peaks, flat s-wave and cusplike d-wave subgap behavior, and an asymmertic background. We consider that the underlying asymmetry of the conductance peaks is primarily due to the features of the quasiparticle energy spectrum, and the d-wave symmetry enhances the degree of asymmetry of the peaks. Increasing the lifetime broadening factor changes the degree of asymmerty of the tunneling conductance peaks and leads to confluence of the quasiparticle and van Hove singularity peaks.

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