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We have successfully grown the single crystals of CeAg$_2$Ge$_2$, for thefirst time, by flux method and studied the anisotropic physical properties bymeasuring the electrical resistivity, magnetic susceptibility and specificheat. We found that CeAg$_2$Ge$_2$ undergoes an antiferromagnetic transition at$T_{\rm N}$ = 4.6 K. The electrical resistivity and susceptibility data revealstrong anisotropic magnetic properties. The magnetization measured at $T$ = 2 Kexhibited two metamagnetic transitions at $H_{\rm m1}$ = 31 kOe and $H_{\rmm2}$ = 44.7 kOe, for $H \parallel$ [100] with a saturation magnetization of 1.6$\mu_{\rm B}$/Ce. The crystalline electric field (CEF) analysis of the inversesusceptibility data reveals that the ground state and the first excited statesof CeAg$_2$Ge$_2$ are closely spaced indicating a quasi-quartet ground state.The specific heat data lend further support to the presence of closely spacedenergy levels.

Quasi-quartet crystal electric field ground state in a tetragonal CeAg$_2$Ge$_2$ single crystal