  In this work we investigate the sphaleron solution in a $SU(2)\times U(1)_X$
gauge theory, which also encompasses the Standard Model, with higher scalar
representation(s) ($J^{(i)},X^{(i)}$). We show that the field profiles
describing the sphaleron in higher scalar multiplet, have similar trends like
the doublet case with respect to the radial distance. We compute the sphaleron
energy and find that it scales linearly with the vacuum expectation value of
the scalar field and its slope depends on the representation. We also
investigate the effect of $U(1)$ gauge field and find that it is small for the
physical value of the mixing angle, $\theta_{W}$ and resembles the case for the
doublet. For higher representations, we show that the criterion for strong
first order phase transition, $v_{c}/T_{c}>\eta$, is relaxed with respect to
the doublet case, i.e. $\eta<1$.
