It is difficult to classify Jane Austen's novels in terms of time period/literary movement, though her novels do fall in the Romantic period in terms of their publication dates. For example, Pride and Prejudice was published in 1813, which is the height of the Romantic era in English poetry. The Romantic poets valued individuality, creative expression, and supernatural, mysterious, or mythological themes (in response to the Age of Reason with its emphasis on rationality over emotion and creativity). Jane Austen's novels don't necessarily fit that description, though, as her works are social novels and often deal with marriage in the early 1800s in a very realistic manner.
Austen's novels would definitely not be considered Victorian since they were published before Queen Victoria took the throne in the 1830s. There is one similarity between Austen's work and Victorian novels and that is her focus on marriage and social critique. Like famous Victorian author Charles Dickens, Austen points to some of the flaws of her society, though she often does so in a more satirical manner. Pride and Prejudice deals with the Bennet family's attempts to marry off their five daughters to suitable men. The novel is a romantic story in the sense of its love-driven plotlines; however, it's not really Romantic in the way Keats's or Shelley's works are characterized as such.
Again, Austen's works, including Pride and Prejudice, are realist social novels, so while they fit the Romantic period in terms of publication dates, they are not Romantic in the way the English poetry of the era is. Pride and Prejudice is not a Victorian novel, as it was written prior to the period, but it does focus on marriage, which many Victorian novels also do.