READ MORE: • Bride who lives-streamed wedding is left at the altar
Top judges backed previous court rulings that Mrs Owens has failed to establish that her marriage had irretrievably broken down, as required by law.
A number of justices expressed their reluctance to make the ruling, but said they were bound by the law.
Speaking after the judgment was delivered, Mrs Owens' solicitor, Simon Beccle, said many people would find the Supreme Court decision "hard to understand".
He said she had hoped judges would make a decision which would be 'forward-thinking and fit with the current social mores'.
"Mrs Owens is devastated by this decision, which means that she cannot move forward with her life and obtain her independence from Mr Owens," her lawyer added.
In New Zealand you must be separated from your spouse for two years before you are able to file for divorce. Once you apply to divorce, your spouse may defend the application.
This will mean appearing before a Family Court judge where, after hearing both party's cases, the judge will decide if there are grounds to proceed and make a dissolution order.