The new regulations are to be discussed by a Financial Services Agency (FSA) committee early next month and a bill may be presented to the current session of parliament, the paper said.
Similar rules are already in place for over-the-counter trading. Internet firm Livedoor Co triggered an uproar in media and business circles when it snapped up 35 percent of NBS in a surprise challenge to a bid for NBS from Fuji Television Network Inc early in February.
Livedoor did not have to announce a formal take-over bid since it made the purchase on the Tokyo Stock Exchange's after-hours trading system.
Financial Services Minister Tatsuya Ito said on February 15 that the agency would review the after-hours trading rules.