The technology behind the proposed service is normally used for digital radio.
The BBC will initially broadcast its News 24 channel, while ITV has not yet named the service it will use in the test.
If the two companies are happy with the results, they will expand the mobile TV trial to include more channels.
The two companies are expected to charge a £10 monthly subscription for the service.
However, the BBC refused to be drawn on its plans for mobile TV and a spokesman said that no announcement was planned.
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