Mo. Rev. Stat. § 153.040

In all cases where a part of any such bridge, as set forth in section 153.030, is in this state and part in another state, such part of such bridge as is in this state only shall be subject to assessment and taxation in this state, and the parties rendering reports, and the county commissions, boards of equalization and the state tax commission, shall only be required to render reports, assess, equalize and adjust taxes on such part of such bridge as may be in this state.