  Moir\'e superlattices based on two-dimensional transition metal
dichalcogenides (TMDs) have emerged as a highly versatile and fruitful platform
for exploring correlated topological electronic phases. One of the most
remarkable examples is the recently discovered fractional quantum anomalous
Hall effect (FQAHE) under zero magnetic field. Here we propose a minimal
structure that hosts long-lived excitons -- a ubiquitous bosonic excitation in
TMD semiconductors -- with narrow topological bosonic bands. The nontrivial
exciton topology originates from hybridization of moir\'e interlayer excitons,
and is tunable by controlling twist angle and electric field. At small twist
angle, the lowest exciton bands are isolated from higher energy bands, and
provides a solid-state realization of bosonic Kane-Mele model with topological
flatbands, which could potentially support the bosonic version of FQAHE.
