  We report the magneto-transport properties and electronic structures of
BaZnBi$_2$. BaZnBi$_2$ is a quasi-two-dimensional (2D) material with metallic
behavior. The transverse magnetoresistance (MR) depends on magnetic field
linearly and exhibits Shubnikov-de Haas (SdH) oscillation at low temperature
and high field. The observed linear MR may originate from the disorder in
samples or the edge conductivity in compensated two-component systems. The
first-principles calculations reveal the absence of stable gapless Dirac
fermion. Combining with the trivial Berry phase extracted from SdH oscillation,
BaZnBi$_2$ is suggested to be a topologically trivial semimetal. Nearly
compensated electron-like Fermi surfaces (FSs) and hole-like FSs coexist in
BaZnBi$_2$.
