We prove that every homogeneous compacta of countable tightness and d(X)$\leq$$2^{\aleph_{o}}$, is first countable. A relevant conjecture is raised by Arhangel'ski\~{i}, conjecture 1.17 in \cite{Ar}, see also van Mill \cite{Mi }, which says: every homogeneous compacta of countable tightness is first countable.