  In this article, we study harmonic symmetries on the compact locally
conformally K\"{a}hler manifold $M$ of $dim_{\mathbb{C}}=n$. The space of
harmonic symmetries is a subspace of harmonic differential forms which defined
by the kernel of a certain Laplacian-type operator $\square$. We observe that
the spaces $\ker(\square)\cap\Omega^{l}=\{0\}$ for any $|l-n|\geq2$ and
$\ker\Delta_{\bar{\partial}}\cap
P^{k,n-1-k}\cap\ker(i_{\theta^{\sharp}})\cong\ker(\square^{k,n-1-k})$,
$\ker\Delta_{\bar{\partial}}\cap P^{k,n-k}\cong\ker(\square^{k,n-k})$.
Furthermore, suppose that $M$ is a Vaisman manifold, we prove that (i) $\alpha$
is $(n-1)$-form in $\ker(\square)$ if only if $\alpha$ is a transversally
harmonic and transversally effective $\mathcal{V}$-foliate form; (ii) $\alpha$
is a $(p,n-p)$-form in $\ker(\square^{p,n-p})$ if only if there are two forms
$\beta_{1}\in\mathcal{S}^{p-1,n-p}$ and $\beta_{2}\in\mathcal{S}^{p,n-p-1}$
such that $\alpha=\theta^{1,0}\wedge\beta_{1}+\theta^{0,1}\wedge\beta_{2}$.
