Let {${Omega}$, $mathcal{F}$, P} be a probability space and {$X_n|n{geq}1$} be a sequence of random variables defined on it. A finite sequence of random variables {$X_n|n{geq}1$} is said to be conditionally negatively associated given $mathcal{F}$ if for every pair of disjoint subsets A and B of {1, 2, ${cdots}$, n}, $Cov^{mathcal{F}}(f_1(X_i,i{in}A),;f_2(X_j,j{in}B)){leq}0$ a.s. whenever $f_1$ and $f_2$ are coordinatewise nondecreasing functions. We extend the H$grave{a}$jek-R$grave{e}$nyi-type inequality from negative association to conditional negative association of random variables. In addition, some corollaries are given.