LA PAZ, Bolivia — The lawmaker who has assumed Bolivia’s interim presidency addressed her violence-torn nation on Wednesday and pledged to “reconstruct democracy,” even as the ousted Bolivian president called her government unconstitutional and his backers vowed to disrupt it.

In her first televised address to Bolivia, Jeanine Añez Chavez, the senator who declared herself interim president on Tuesday, urged citizens to resume their normal lives after weeks of violence set off by a disputed election. She promised to seek “a national consensus.”

And Ms. Añez rejected accusations from Evo Morales, who stepped down as president on Sunday with his country in turmoil, that her assumption of the presidency was illegitimate. Mr. Morales has taken refuge in Mexico.