The current research considers the Tsallis holographic dark energy (THDE) with the Hubble horizon as an IR cut-off with a non-interacting flat Friedmann–Lemaitre–Robertson–Walker (FLRW) Universe. We investigate the evolutionary behaviour of deceleration and the equation of state parameter for the distinct Tsallis exponent δ and noticed appropriate behaviour in the model. The scalar field of the phantom describes the non-interacting Tsallis holographic dark energy when δ > 2, then we demonstrate the phantomic narration when δ > 2 for the Tsallisholographic dark energy and reconstruct the scalar field potential of the phantom.