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With the new measurements of $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ from LHCb Collaboration, in addition to dominant contribution ${\ensuremath{\rho}}^{0}$ meson, we perform a theoretical study on $\ensuremath{\omega}$ meson and $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ processes. For decay, main consider also $X(3872)J/\ensuremath{\psi}\ensuremath{\omega}$ coupling with decaying directly into ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. It is found that recent experimental ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ invariant mass distributions can be well reproduced, ratio couplings between $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}{\ensuremath{\rho}}^{0}$ $X(3872)\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\omega}$ evaluated. Within parameters extracted process, branching fractions channel relative ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ decay are calculated, which gives hint for further high-statistic experiment.