The discussions were meant to start on Monday but European Trade Commissioner Karel De Gucht said US Trade Representative Michael Froman had said Washington DC would be unable to send its delegation.
"Next week's negotiations have therefore been cancelled," he said in a statement on Friday, referring to the planned talks in Brussels.
De Gucht said the delay was "clearly regrettable" but he also insisted that both the EU and the US were "strongly committed to see the process through".
What will be the consequence of the US shutdown?
Factbox: What is the US government shutdown?
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
Comment: What if the shutdown were happening in another country?
Both sides hope to have proposals ready by January to end deep differences over rules and regulations.
Gaps on food and aviation safety, to standards for electric cars or the regulation of financial services, stand in the way of plans for a transatlantic deal to create the world's largest free trade area.
A first round of talks in efforts to seal the Transatlantic Trade and Investment Partnership (TTIP) took place in Washington DC in July.
Besides the cancelled second round, a third round of talks is due to be held in December.
The EU-US deal would cover an area that has 820 million people.
While no timeframe has been set to reach a deal, there is pressure on both sides to make significant progress by late next year before a new European Commission takes office in November 2014.

