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Comparing the predicted and observed permanent electric dipole moments, $\mu$, for simple diatomic cobalt containing molecules is a means of testing computational methodologies used for modeling cobalt-catalyzed reactions. Here we report on the experimental determination of $\mu$ for CoH and CoF from the analysis of the Stark shifts in the (0,0) bands of the $A^\{\backslash prime\}^\{3\}$$\Phi 4-X3\Phi 4$ system of cobalt monohydride, CoH, and the $[18.8]3$$\Phi 4-X3\Phi 4$ system of cobalt monofluoride, CoF. In addition, the proton magnetic hyperfine interaction in CoH is analyzed. The relative values for $\mu$ are rationalized using a molecular orbital correlation diagram and with high-level \textit {ab initio} predictions\underline {\textbf{126}} 144307, 2007.}.