During adiabatic compression the temperature of a gas increases while no heat is given to system.
In adiabatic compression, $d Q=0$
$\therefore$ From first law of thermodynamics,
$d Q=d U+d W$
as $d Q=0$,
$d U=-d W$
In compression work is done on the gas i.e., work done is negative.
So $d U$ is positive and increase the temperature of system. Hence, internal energy of the gas increases due to which its temperature increases.