From BBC News:
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Trade between Europe and America was vast, said Mr Blair.
Other points so far:
Mr Blair said he expected a decision on steel in time.
The US president said free trade required a level playing field and he said Mr Blair had brought up the issue of the steel tariff three times.
Mr Bush insisted his government was committed to free trade despite the US steel tariff.
Mr Bush said those detainees were illegal combatants and were being treated fairly.
The prime minister insisted that justice was being done for the internees.
Mr Blair said the UK and US were discussing the British nationals being held in Guantanamo Bay and the issue would be resolved "at some point soon".
Mr Blair said people everywhere would suffer if the battle against terrorism was lost.
The prime minister said the attacks in Turkey were against anyone who stood up against fanaticism.
Mr Blair said that the battle the US and its allies were facing was one of freedom and democracy versus fanaticism and terrorism.
The US president said he had told the Turkish prime minister he would provide support in terms of shared intelligence.
Mr Bush said there was an ongoing "international manhunt" terrorist by terrorist.
The US president said the terror attacks in Turkey were attacks on freedom.
Mr Bush said there were two levels to the approach in Iraq - one was political and one was military.
The terror attack in Turkey would not cause the UK to flinch - rather it would stand firm against any threat, said the prime minister.
Mr Blair said it was essential to defeat Saddam Hussein's henchmen.
Mr Bush said he would continue to match the level of US troops in Iraq to the challenges faced there.
Mr Bush thanked Mr Blair for his leadership and his friendship.
The mission in Iraq was "noble" and the US and its allies would finish the job it has begun.
Mr Bush said he had met with the families of British servicemen killed in Iraq.
The US president said no ally had accomplished or sacrificed more in the fight against terrorism than Britain.
The terrorists wanted to intimidate and demoralise and they were not going to succeed, Mr Bush said.
The US president said the terrorists hated freedom, free nations and had a total contempt for life.
Mr Bush said he felt honoured to be feted with a state visit to the UK.
The prime minister said he and Mr Bush had discussed issues as wide-ranging as climate change and Iraq.
Terrorism was the greatest 21st Century threat, said Mr Blair, and there was only one rational response - to stand up to it with an "unshakeable unity of purpose" until the world was free of this "evil".
The prime minister said he was publishing a short summary on the casualties and cost of terrorism in recent years and months.
Mr Blair said the fanatics of terror had shown themselves to be "callous, brutal murderers of the innocent" and he contrasted that with the message Mr Bush brought about spreading democracy and freedom.
The prime minister said that the attacks showed how important it was to carry on in Iraq until terrorism was defeated.
Mr Blair said the attacks were a reminder of the evil and threat that existed in the world.
The prime minister sent his condolences of the victims of the terror attacks against British targets in Turkey.
Mr Blair began by welcoming Mr Bush and his wife to Downing Street.
President George W Bush and Tony Blair began their joint news conference at 12:17 GMT.
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Addendum:
Asked a question about opposition to him and his policies in the UK, Mr Bush said "freedom is beautiful" and he said he "did not know" if people hated him.
"Mr Bush said freedom was not America's gift to the world but it was the gift of the Almighty and that Muslims and Christians worshipped the same god."