  We report on the structural and superconducting properties of the
intermetallic compound BaGaGe. We find that this material undergoes a
structural second-order phase transition from the distorted AlB$_2$-type
structure (1H, $a$ = 4.3254(2) \r{A}, $c$ = 5.1078(3) \r{A}, P6/mmm) into the
CaIn$_2$-type structure (2H, $a$ = 4.3087(3) \r{A}, $c$ = 10.2117(6) \r{A},
P6$_3$/mmc) at a transition temperature of $T_{\rm S}$ = 253 K. We find that
the structural phase-transition corresponds to a coherent buckling of the
honeycomb layers, which we can interpret as a disorder-to-order transition of
the atoms located within this layer. We show that the 2H-BaGaGe phase becomes
superconducting at a critical temperature of $T_{\rm c}$ = 2.1 K. The bulk
nature of the superconductivity in 2H-BaGaGe is confirmed by means of specific
heat measurements, where we determine a value of $\Delta C$/$\gamma T_{\rm c}$
= 1.59, which is close to the expected BCS value in the weak coupling limit.
