Seemberjeet Kaur had disappeared from her home in Bradford city since October 23 and police had issued an alert expressing concern about her well-being as the mother of a four-year-old child was reportedly under medication for depression.
A member of the public had reported a body in the River Aire near Leeds station on Thursday.
West Yorkshire Police have now confirmed a post-mortem examination was carried out on Friday and the body has been formally identified as that of 35-year-old Kaur.
Kaur had sparked a massive police search when she failed to collect her daughter from nursery on October 23.
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Kaur had taken a taxi to Salts Mill from her home at about 10 am.
Officers said they were particularly concerned for her welfare because she was suffering from anxiety and may wrongfully have had concerns about her health.
Detectives also carried out sonar searches concentrating on a small stretch of the River Aire which flows through Roberts Park.
Two weeks after she went missing, officers carried out an "information seek" operation in the park, where residents were shown a photograph of Kaur and asked to fill out questionnaires to establish whether they might have seen her.
Her family had spoken of their hope she was still alive, saying her disappearance was out of character.