Summary: We characterize the centre of the Banach lattice of Banach lattice

$E$-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space

$K$ in terms of the centre of

$C(K,E)$, the space of

$E$-valued continuous functions on

$K$. We also identify the centre of

$C{D}_{0}(Q,E)=C(Q,E)+{c}_{0}(Q,E)$ whose elements are the sums of

$E$-valued continuous and discrete functions defined on a compact Hausdorff space

$Q$ without isolated points, which was given by

*S. Alpay* and

*Z. Ercan* [Positivity 4, No. 3, 213–225 (2000;

Zbl 0973.46026)].