  In this paper, we have explored the field equations of $f(T,B)$ gravity and
determined the dynamical parameters with the hyperbolic function of Hubble
parameter. The accelerating behavior has been observed and the behavior of
equation of state parameter indicates $\Lambda CDM$ model at late time. The
role of model parameters in assessing the accelerating behavior has been
emphasized. Interestingly the term containing $\beta$, the coefficient of
boundary term, in the model parameter vanishes during the simplification. The
scalar perturbation has been presented to show the stability of the model.
