In this paper, we study balanced metrics and Berezin quantization on a class of Hartogs domains defined by Ωn={(z1,…,zn)∈Cn:|z1|<|z2|<⋯<|zn|<1} which generalize the so-called classical Hartogs triangle. We introduce a Kähler metric g(ν) associated with the Kähler potential Φn(z):=−∑n−1k=1νkln(|zk+1|2−|zk|2)−νnln(1−|zn|2) on Ωn. As main contributions, on one hand we compute the explicit form for Bergman kernel of weighted Hilbert space, and then, we obtain the necessary and sufficient condition for the metric g(ν) on the domain Ωn to be a balanced metric. On the other hand, by using the Calabi’s diastasis function, we prove that the Hartogs triangles admit a Berezin quantization.