Searches for $t\bar{t}H$ and $tH$ with $H\to b\bar b$

The associated production of a Higgs boson with a top quark-antiquark pair ($\text{t}\bar{\text{t}}\text{H}$ production) or with a single top quark ($\text{tH}$ production) allows a direct measurement of the top-Higgs-Yukawa coupling with minimal model dependence. In this article, recent results of searches for $\text{t}\bar{\text{t}}\text{H}$ and $\text{tH}$ production in the $\text{H}\rightarrow\text{b}\bar{\text{b}}$ channel performed by the ATLAS and CMS experiments are reviewed. The analyses use pp collision data collected at a centre-of-mass energy of 13$\,$TeV corresponding to an integrated luminosity of up to 13.2$\,$fb${}^{-1}$.