  We study the effects of multiple transitions in the vacuum dark energy
density on the $H_0$ tension problem. We consider a phenomenological model in
which the vacuum energy density undergoes multiple transitions in the early as
well as the late universe and compare the model's predictions using the three
sets of data from CMB+BAO+SN. The transient dark energy can be either positive
(dS-like) or negative (AdS-like). We conclude that a transient late-time
AdS-type vacuum energy typically yields the higher value of $H_0$ which can
alleviate the $H_0$ tension. In addition, to obtain a value of $H_0$ comparable
to the value obtained from the local cosmological measurements the spectral
index $n_s$ moves towards its Harrison-Zel'dovich scale invariant value
