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We calculate the one-loop correction to the distribution of energy-momentum
tensor around a kink in $1+1$ dimensional $\phi^4$ model. We employ the
collective coordinate method to eliminate the zero mode that gives rise to
infrared divergence. The ultraviolet divergences are removed by vacuum
subtraction and mass renormalization. We obtain an analytic result that is
finite and satisfies the momentum conservation. The total energy of the kink
obtained from the spatial integral of energy density reproduces the known
result. Our result obtained on a finite space has a spatially-uniform term that
is inversely proportional to the spatial length.
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