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We study the leptonic and semileptonic $D$-meson decays (${{\mathit D} \to}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{\mathit \ell$ and ${\mathit{D} \to}{{\mathit K}^{(*)}}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{\mathit \ell$)in the framework of covariant quark model with built-in infrared confinement.We compute the required form factors in the entire kinematical momentumtransfer region. The calculated form factors are used to evaluate the branchingfractions of these transitions. We determine the following ratios of thepartial widths: $\Gamma ({{\mathit D}^{0}} \rightarrow {{\mathitK}^{-}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}})/\Gamma({{\mathit D}^{+}}\rightarrow {{\overline{\mathit K}}^{0}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}})= 1.02$, $\Gamma({{\mathit D}^{0}} \rightarrow {{\mathit K}^{-}}{{\mathit\mu}^{+}}{{\mathit \nu}_{{\mu}}})/\Gamma({{\mathit D}^{+}} \rightarrow{{\overline{\mathit K}}^{0}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}) = 0.99$and $\Gamma({{\mathit D}^{+}} \rightarrow {{\overline{\mathit K}}^{0}}{{\mathit\mu}^{+}}{{\mathit \nu}_{{\mu}}}) / \Gamma({{\mathit D}^{+}} \rightarrow{{\overline{\mathit K}}^{0}}{{\mathit e}^{+}}{{\mathit \nu}_{{e}}}) = 0.97$which are in close resemblance with the iso-spin invariance and experimentalresults.

Decay ${\mathit{D} \to} {{\mathit K}^{(*)}}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ in covariant quark model