Diagonal and off-diagonal thermal conduction with resonant phonon scattering in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Ni</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>Te</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:mrow></mml:math>

The coupling between phonon and magnon is ubiquitous in magnetic materials plays a crucial role many aspects of properties, most notably spintronics. Yet, this academically technologically interesting problem still poses severe challenge to general understanding the issue certain materials. We report that Ni3TeO6 exhibits clear evidence significant magnon-phonon both longitudinal thermal conductivity ($\kappa_{xx}$) Hall coefficient ($\kappa_{xy}$). Debye-Callaway model, phenomenological description for heat conduction, can explain measured field dependence $\kappa_{xx}(H)$: scattering from spin fluctuation paramagnetic phase additional due collinear antiferromagnetic phase. further suggest similar approach could be applied understand finite $\kappa_{xy}$ values $Ni_3TeO_6$.