Please be aware that Tokyo and Osaka has multiple airports and that these results are for all airports serving the city.
The best month to fly between Tokyo and Osaka is June and the most expensive month to fly is September. (Average prices, based on 502 datapoints.)
The best day to arrive at Tokyo is Sunday and it would be best to avoid Tuesday, as prices are on average 67.22% higher than on Sunday. (Average prices, based on 1186 datapoints.)
The cheapest airline flying from Tokyo to Osaka is Peach Aviation. They are 70% cheaper than ANA Wings. (Average prices, based on 541 datapoints.)
The best time to fly is at around 6. (Average prices, based on 1917 datapoints.)