Not automatically. TD status itself does not carry work authorization. An eligible spouse or an unmarried child under 21 may obtain TD, but the spouse's own work plan needs a separate route or authorization analysis.
Write out the household's actual activities separately
Include any remote work the spouse intends to keep doing for a Canadian employer while physically in the United States — the employer being Canadian does not itself grant permission. Note children's schooling separately, along with their age and current status. Decide whether the family intends to travel together or in stages, since that changes what documentation each person needs to have ready.
Plan each household member separately: document citizenship, relationship, intended activity, travel sequence, and the principal's TN evidence. A TD spouse and TD children cannot work in TD status, although they may study; they may work only if otherwise authorized by DHS. Remote services performed while physically in America still require analysis, even when payroll remains Canadian. The common mistake is treating the principal's approval as household-wide work permission. Decide before travel whether the spouse will stop working, pursue independent authorization, or delay moving.
Hypothetical example: a Windsor landscape architect accepts prearranged professional work while her husband wants to continue bookkeeping for a local construction supplier from their proposed U.S. home. They list her TN start, his client obligations, their teenager's classes, and staggered entry options. Because TD permits study but supplies no employment authorization, he does not assume a Canadian paycheque changes the rule; the family obtains advice on whether he has another DHS-authorized basis before scheduling his work.