According to media and White House confirmation President Trump has selected Larry Kudlow to chair the National Economic Council:

Kudlow is essentially adored by Wall Street (writ large), and as such all the nervous nellies will be back-slapping and high-fiving. In addition to Mr Kudlow, potential successors include Chris Liddell, who serves as the White House’s director of strategic initiatives, and Shahira Knight, Gary Cohn’s deputy at the National Economic Council and a key architect of the president’s tax overhaul law. The move makes Kudlow second top economic adviser to president Donald Trump after Gary Cohn — a former Goldman Sachs executive who worked for Trump for more than a year — announced he would resign on March 6 over disagreements regarding the president 's decision to impose tariffs on steel and aluminum imports. Mr Trump said he’s strongly considering selecting CNBC senior contributor Larry Kudlow to succeed Gary Cohn as his top economic adviser, praising the veteran financial commentator and campaign supporter. I am very excited to work with President Trump and work on the economy for this country.”

Trump hinted broadly that Kudlow would become his next National Economic Council director, telling reporters yesterday that he was giving his long-time advisor and former Reagan administration veteran strong consideration — even though the two men “don’t agree on everything.”

“Larry has been a friend of mine for a long time. And I think it’s the best way to go.”

But Kudlow has praised the president’s work on tax reform, writing last year that, “Trump and the GOP are on the side of the growth angels with the passage of powerful tax-cut legislation to boost business investment, wages, and take-home family pay. In his remarks Tuesday, Trump said he would welcome disagreement from Kudlow.
U.S. President Donald Trump appoints conservative commentator Larry Kudlow as National Economic Council director, replacing outgoing Gary Cohn.