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We investigated the magnetic behavior of metal hydrides FeH$_{x}$, CoH$_{x}$and NiH$_{x}$ for several concentrations of hydrogen ($x$) by using DensityFunctional Theory calculations. Several structural phases of the metallic host:bcc ($\alpha$), fcc ($\gamma$), hcp ($\varepsilon$), dhcp ($\varepsilon'$),tetragonal structure for FeH$_{x}$ and $\varepsilon$-$\gamma$ phases forCoH$_{x}$, were studied. We found that for CoH$_{x}$ and NiH$_{x}$ the magneticmoment ($m$) decreases regardless the concentration $x$. However, for FeH$_{x}$systems, $m$ increases or decreases depending on the variation in $x$. In orderto find a general trend for these changes of $m$ in magnetic metal hydrides, wecompare our results with the Slater-Pauling curve for ferromagnetic metallicbinary alloys. It is found that the $m$ of metal hydrides made of Fe, Co and Nifits the shape of the Slater-Pauling curve as a function of $x$. Our resultsindicate that there are two main effects that determine the $m$ value due tohydrogenation: an increase of volume causes $m$ to increase, and the additionof an extra electron to the metal always causes it to decrease. We discussthese behaviors in detail.

\textit{Ab Initio} Study of the Magnetic Behavior of Metal Hydrides: A Comparison with the Slater-Pauling Curve