  In [F. Levstein, C. Maldonado, The Terwilliger algebra of the Johnson
schemes, Discrete Math. 307 (2007) 1621--1635], the Terwilliger algebra of the
Johnson scheme $J(n,d)$ was determined when $n\geq 3d$. In this paper, we
determine the Terwilliger algebra ${\mathcal T}$ for the remaining case $2d\leq
n<3d$.
