  In the following we present our recent results on the resummation of soft
gluon corrections to the $pp\rightarrow t\bar{t}H$ cross section at the LHC.
The resummation was carried out at next-to-next-to-leading-logarithmic (NNLL)
accuracy using the Mellin space technique. Obtained results were matched to the
NLO cross section. We show that the resummation leads to reduction of
scale-variation uncertainty of the total $pp\rightarrow t\bar{t}H$ cross
section.
