The present work is based on the idea of an interacting framework of newholographic dark energy with cold dark matter in the background of $f(T)$gravity. Here, we have considered the flat modified Friedmann universe for$f(T)$ gravity which is filled with new Holographic dark energy and darkmatter. We have derived some cosmological parameters like Decelerationparameter, EoS parameter, State-finder parameters, Cosmographic parameters,{\it Om} parameter and graphically investigated the nature of these parametersfor the above mentioned interacting scenario. The results are found to beconsistent with the accelerating universe. Also we have graphicallyinvestigated the trajectories in $\omega $--$ \omega'$ plane for differentvalues of the interacting parameter and explored the freezing region andthawing region in $\omega $--$ \omega'$ plane. Finally, we have analyzed thestability of this model.
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