The largest moon of Neptune, Triton, possess a cold and hazy atmosphere. Since the discovery of near-surface haze layer during the Voyager fly in 1989, the haze formation mechanism has not been investigated in detail. Here, we provide the first haze microphysical model on Triton. Our model solves the evolution of both size and porosity distributions of haze particles in a self-consistent manner. We simulated the formation of sphere and aggregate hazes with and without condensation of the C$_2$H$_4$ ice. The haze particles can grow into fractal aggregates with mass-equivalent sphere sizes of $sim0.1$--$1~{rm {mu}m}$ and fractal dimension of $D_{rm f} = 1.8$--$2.2$. The ice-free hazes cannot simultaneously explain both UV and visible observations of Voyager 2, while including the condensation of C$_2$H$_4$ ices provides two better solutions. For ice aggregates, the required total haze mass flux is $sim2times{10}^{-15}~{rm g~{cm}^{-2}~s^{-1}}$. For the icy sphere scenario, the column integrated C$_2$H$_4$ production rate is $sim8times{10}^{-15}~{rm g~{cm}^{-2}~s^{-1}}$, and the ice-free mass flux of $sim6times{10}^{-17}~{rm g~{cm}^{-2}~s^{-1}}$. The UV occultation observations at short wavelength $<0.15~{rm {mu}m}$ may slightly favor the icy aggregates. Observations of the haze optical depth and the degree of forward scattering in UV and visible should be able to distinguish whether Tritons hazes are icy spheres or ice aggregates in future Triton missions.
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