  To explore new superconductors beyond the copper-based and iron-based systems
is very important. The Ru element locates just below the Fe in the periodic
table and behaves like the Fe in many ways. One of the common thread to induce
high temperature superconductivity is to introduce moderate correlation into
the system. In this paper, we report the significant enhancement of
superconducting transition temperature from 3.84K to 5.77K by using a pressure
only of 1.74 GPa in LaRu2P2 which has an iso-structure of the iron-based 122
superconductors. The ab-initio calculation shows that the superconductivity in
LaRu2P2 at ambient pressure can be explained by the McMillan's theory with
strong electron-phonon coupling. However, it is difficult to interpret the
significant enhancement of Tc versus pressure within this picture. Detailed
analysis of the pressure induced evolution of resistivity and upper critical
field Hc2(T) reveals that the increases of Tc with pressure may be accompanied
by the involvement of extra electronic correlation effect. This suggests that
the Ru-based system has some commonality as the Fe-based superconductors.
