He said that the government was urging both Unite and BA management to continue negotiations to move away from a strike.
The shadow transport secretary, Theresa Villiers, said Unite was "seeking to make things worse and internationalise the dispute".
"I gather the aim in talking to these other trade unions is to seek to block BA flights from landing during the period of the dispute," she said.
Teamsters has 1.4 million members in the US, including 40,000 workers in the aviation industry.
BA said it was "sad" to see Unite "seeking backing from trade unions overseas to support its unjustified strike against an iconic British brand".
Unite has dismissed claims by BA that 1,000 volunteers among other BA staff have offered to work as cabin crew during the strike.
'Not helpful'
Meanwhile, TUC General Secretary Brendan Barber has been involved in separate talks with both Unite and British Airways to try and avert this weekend's threatened strike, says BBC political correspondent Norman Smith.
So far, however, this has failed to provide any breakthrough.
The conciliation service Acas has also rebuked both sides for leaking details of last weekend's failed talks.
In a statement, an Acas spokeswoman said: "It is not helpful to discuss details of exploratory talks in public, which is why Acas always asks parties to keep details confidential.
"We never disclose details of talks to third parties, which means that we will make no further comment in this case."
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