Since UPS withdrew its offer for TNT in January 2013, the value of the euro has declined more than 19 percent in value against the dollar.

On Tuesday, FedEx executives cited the strong dollar, as well as signs of improvement in Europe, as among the reasons for the deal.

“The European economy appears to be growing a bit, fueled, no pun intended, by the lower price of oil and the quantitative easing that has been announced by the E.C.B.,” said Fred Smith, FedEx’s founder and chief executive.

David J. Bronczek, the president and chief executive of FedEx Express, the company’s main operating unit, also noted that buying TNT gave FedEx access to an existing road delivery network, including 550 hubs and depots, that would be much more costly for FedEx to build on its own.

TNT’s executive and supervisory boards have unanimously recommended that shareholders accept the deal, which is expected to close in the first half of 2016. PostNL, the Dutch mail service that owns 14.7 percent of TNT, has agreed to support the deal.

UPS dropped its $6.9 billion bid for TNT in 2013 after the European Commission, the European Union’s antitrust regulator, blocked the deal, concerned that it would limit choice for European shipping customers and lead to price increases.

Image A TNT delivery truck near Amsterdam. TNT’s executive and supervisory boards have unanimously recommended that shareholders accept a takeover offer from FedEx Corporation. Credit... Peter Dejong/Associated Press

“We know that there are two strong players in the marketplace. Now there will be three,” Mr. Bronczek said at the news conference in Amsterdam on Tuesday. “At the end of the day, what the commission and what the regulatory authorities would like to see is better competition.”