  We present the resumed predictions consisting of both soft-virtual(SV) as
well as next-to-SV(NSV) threshold logarithms to all orders in perturbative QCD
for the rapidity distribution of Higgs Boson till $\rm NNLO + \overline{NNLL}$
accuracy at LHC. Using our recent formalism\cite{Ajjath:2020lwb}, the
resummation is carried out in the double Mellin space by restricting the NSV
contributions only from diagonal $gg$ channel. We perform the inverse Mellin
ransformation using the minimal prescription procedure and match it with the
corresponding fixed order results. We do a detailed analysis of the numerical
impact of the resummed result. The K-factor values at different logarithmic
accuracy suggest that the prediction for the rapidity distribution converges
and becomes more reliable at $\rm NNLO + \overline{NNLL}$ order. We further
observed that the inclusion of resumed NSV contribution improves the
renormalisation scale uncertainty at every order in perturbation theory.
However, the uncertainty due to factorisation scale increases by the addition
of resummed SV+NSV predictions to the fixed order rapidity distribution.
