  In conformal field theory (CFT), the four-point correlator is a fundamental
object that encodes CFT properties, constrains CFT structures, and connects to
the gravitational scattering amplitude in holography theory. However, the
four-point correlator of CFTs in dimensions higher than 2D remains largely
unexplored due to the lack of non-perturbative tools. In this paper, we
introduce a new approach for directly computing four-point correlators of 3D
CFTs. Our method employs the recently proposed fuzzy (non-commutative) sphere
regularization, and we apply it to the paradigmatic 3D Ising CFT. Specifically,
we have computed three different four-point correlators: $\langle
\sigma\sigma\sigma\sigma\rangle$, $\langle
\sigma\sigma\epsilon\epsilon\rangle$, and $\langle \sigma\sigma T_{\mu\nu}
T_{\rho\eta}\rangle$. Additionally, we verify the crossing symmetry of $\langle
\sigma\sigma\sigma\sigma\rangle$, which is a notable property arising from
conformal symmetry. Remarkably, the computed four-point correlators exhibit
continuous crossing ratios, showcasing the continuum nature of the fuzzy sphere
regularization scheme. This characteristic renders them highly suitable for
future theoretical applications, enabling further advancements and insights in
3D CFT.
