  High critical temperature (T$_c$) superconductor has a great potential in
many industrial applications. However, discovering a compound having high T$_c$
is still remaining a big challenge for experimental approach due to
time-consuming and high cost. In this paper, we investigated the critical
temperature (T$_c$) of several compounds of ThCr$_2$Si$_2$-type structure
(space group I4/mmm) since some of them had already been investigated and
trusted as the potential candidates for superconductivity. First principle
calculation was performed to compute the critical temperature (T$_c$) based on
allen-dynes equation modification of McMillian formula. In order to confirm our
calculation scheme, we compared our result with compounds which had been
experimentally determined obtained from $NIMS$ database. The result showed a
very good agreement with experimental data. Based on this scheme, finally, we
found ThCu$_2$Si$_2$ and ThAu$_2$Si$_2$ which were most likely to exhibit a
superconductivity around 3.88 K and 4.27.
  $keywords$ : superconductivity, ThCr$_2$Si$_2$-type structure,
ThCu$_2$Si$_2$, ThAu$_2$Si$_2$, critical temperature
