The Labour leader instead highlighted the importance of the UK’s trading relationship with China, India and the EU.
When asked if he thought the US relationship was the UK’s most important Mr Corbyn said: “No. I think there are many important relationships.
“The US one is obviously culturally and economically significant and important.
“Also the trading relationships we have around the world with obviously the EU, but also with India and China and the rest of the world are very important.
“Also our relationship with international institutions such as the United Nations is very important.”
The Labour leader went on to question the existence of the special relationship.
He said: “I’m not sure that anyone has succeeded in defining the special relationship.
“I’ve asked about the special relationship and I was told once by a former prime minister, I won’t name the person, that if they specify what the special relationship was, it wouldn’t be a special relationship.”
The veteran Labour MP also attacked US President Donald Trump following his decision to abandon a visit to the UK amid the threat of massive protests.
Figures in the Labour Party and elsewhere hit out at Theresa May’s decision to invite the Republican firebrand for a state visit so soon into his presidency.
Trump postponed his visit indefinitely last week after tweeting that he did not want to “cut the ribbon” on the new US embassy which he called a “bad deal”.
Corbyn said: “The biggest disappointment of Donald Trump is — apart from his endless offensive remarks about women, about minorities and about different faiths — is his failure to support international institutions like the United Nations and like Unesco.”
The Labour leader’s statements come after it was claimed by a think tank that the UK had scored an “own goal” by allowing Trump to skip the trip.
Dr Alan Mendoza from the Henry Jackson Society claimed that the decision from Mr Trump would “worsen” the UK’s position “in relation to others”.
He said: “It is an own goal for the UK if the threat of mass protests has prevented the President of our closest ally from attending an embassy opening.
“President Trump has already visited many of our international partners, so this extreme virtue signalling will do nothing but worsen our position in relation to others.
“A solid UK-US relationship is essential for a post-Brexit UK’s global success, and whatever the personal view of Trump, his office should be respected.”
Following the President’s move, Downing Street insisted he is welcome in London.
In a major snub to Theresa May, US Secretary of State, Rex Tillerson will attend instead.