The England and Wales Cricket Board have praised the International Cricket Council's "swift action" regarding comments made by Australian coach Darren Lehmann.
The 43-year-old accused Broad of "blatant cheating" after the England seamer did not walk after edging the ball to Michael Clarke during the first Ashes Test at Trent Bridge.
Lehmann was fined 20% of his match fee - a reported figure of £2,000 - for his comments to the Australian radio show, and the ECB now want to draw a line under the matter.
"The England and Wales Cricket Board, having reviewed the disciplinary process undertaken by the International Cricket Council overnight, have welcomed the swift action taken and also noted Cricket Australia's acceptance of the sanctions handed down to their team coach Darren Lehmann," read a statement.
"The ECB, in supporting its players, management support staff and their families, believe no-one in the game condones incitement of any kind and we will take all necessary steps to ensure safety on tour.
"The ECB now wishes to bring this disappointing incident to a close and will make no further comment."
In the fifth and final Test at The Oval, the hosts are trailing by 245 runs.