However, Hunt told the Leveson Inquiry into press ethics and standards today that he was "sympathetic" rather than "supportive" of the Sky takeover.
In a full day of evidence today at the Royal Courts of Justice, the culture secretary said that he had "set aside" his own views when arbitrating over the takeover, and had involved regulator Ofcom even though it was against James Murdoch's wishes.
Hunt also denied that Rupert Murdoch's News Corporation had any influence over his department. He supplied the inquiry with 160 pages of memos, emails and text message transcripts to back up his case.
The Leveson Inquiry is currently investigating the decision to ask Hunt to adjudicate over the Sky bid, after the power was stripped from the business secretary Vince Cable, who had been secretly recorded saying he had "declared war" on Rupert Murdoch.
Today it was disclosed that on December 22, the day Hunt was handed the "quasi judicial" role, he sent a text to James Murdoch saying: "Great and congrats on Brussels. Just [regulator] Ofcom to go."
He was referring to the European Commission's decision to clear the £8bn bid by News Corp to acquire the 60.9% of Sky that it did not already own.
But following his morning of evidence at Leveson, Labour repeated calls for David Cameron to sack Hunt.
Labour MP Chris Byrant told the BBC that the culture secretary was "effectively colluding with News Corporation".
"We learned that Jeremy Hunt, at the very time when it was being decided who should be taking over responsibility for the decision on the BSkyB takeover, was in conversation with James Murdoch," Bryant said.
But Conservative MP Louise Mensch, a member of the Culture select committee, told BBC News that Hunt had "been completely exonerated today".
At the Leveson Inquiry, it was revealed that Hunt had also sent a text to James Murdoch congratulating him on his promotion within the New York-based News Corp, adding "although I'm sure you'll really miss Ofcom in New York". Hunt said that this was meant "tongue in cheek".
He said that he was "just being courteous" by replying to text messages, but he would probably "avoid" such contact now.
Hunt also defended the actions of his special adviser Adam Smith, who resigned last month after revelations about his extensive contact with News Corp lobbyist Fred Michel during the Sky takeover bid process.
Hunt later said Smith was "the most decent, straight, honourable person one can imagine, but even he was not able to maintain impartiality because of the volume of communication from Mr Michel".
He added: "I think this is where things went wrong as far as communication was concerned.
"What Mr Smith hasn't done, as far as I can tell, is ever go back and agitate for the thing Mr Michel is putting him under pressure to achieve."
Hunt discussed a key memo that he sent to David Cameron while Cable was still in charge, which appeared to show his strong support for the Sky takeover.
In the message, the culture secretary said that it would be "totally wrong to cave in" to opponents of the deal, and stressed that British media "would suffer for years" if the deal was blocked.
Hunt said today that he sent the memo because he felt that the government's approach to the takeover was "inconsistent" with Tory views on the free market and "people who take risks".
He said that it "was widely known that [he] was broadly sympathetic towards the bid", but claimed that his actions while in the "quasi judicial" role proved that he was not biased.
"My suitability for the role is demonstrated by the actions I took when I did take responsibility for the role because I believe I did totally set aside all those sympathies," he said.
"I asked myself, if they found it necessary to close down the whole paper, this is a big, big decision for News Corporation. Is there a corporate governance issue here?" said Hunt.
News Corp abandoned the takeover bid for Sky on July 11 after cross-party pressure from MPs in the hacking affair, but just a month earlier Hunt has said that he was "minded to approve" the undertakings offered by the firm.
However, following the day's evidence, prime minister David Cameron said that he was satisfied that Hunt had acted properly, and would not be seeking an investigation into whether he breached the ministerial code.
> Vince Cable considered Sky bid with 'independent mind'