The White House has yet to announce the full team but confirms that Cipollone will be the lead lawyer, backed by Trump attorney Jay Sekulow.
Former Florida Attorney General Pam Bondi and Mr Trump's longtime personal counsel Jane Raskin will also supplement the President's impeachment legal team, a person familiar with the matter said. Opening arguments will begin on Tuesday.
The Democratic-controlled House of Representatives has charged Trump with abuse of office for pressuring Ukraine to investigate a political rival, former Vice President Joe Biden, and obstructing Congress in its investigation into his conduct.
The Senate opened the impeachment trial at the start of the election year as Trump seeks another term, a test not only of his presidency but also of the nation's three branches of power and its system of checks and balances.
The Senate will issue a formal summons to the White House to appear, with the president's legal team expected to respond by Saturday.
Mr Trump has denied these claims, calling the impeachment proceedings a partisan "hoax". The Senate acquitted Clinton in 1999. Critics of Starr at the time accused him of turning a blind eye to sexual violence on his campus after pursuing Clinton for a sexual relationship.
Dershowitz, 81, a retired professor of constitutional law at Harvard University, and Starr, 73, formerly president of Baylor University in Texas, have demonstrated their loyalty to Trump in frequent appearances on cable television.
He has been a frequent defender of Trump in media interviews.
Dershowitz posted on Twitter that he "will present oral arguments at the Senate trial to address the constitutional arguments against impeachment and removal".
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"He is participating in this impeachment trial to defend the integrity of the Constitution and to prevent the creation of a risky constitutional precedent", said the legal team, which noted Mr Dershowitz opposed Mr Clinton's impeachment and voted for his wife, Hillary Clinton, in the 2016 presidential election.
The impeachment trial of Trump began in the Senate on Thursday as Chief Justice John Roberts and 99 of the 100 senators who will serve as jurors were sworn in.
Mr Ray succeeded Mr Starr as the independent counsel.
Trump in December said Cipollone would likely play the lead role in his defense. Schiff is a former federal prosecutor in Los Angeles.
In Kentucky, activists marked the moment by gathering Thursday outside of Senate Majority Leader Mitch McConnell's Louisville office to assure him that they will be watching to proceedings.
Earlier on Thursday, House Democrats prosecuting the case stood before the Senate and formally read the articles of impeachment against Trump.
Senator Romney said he wants to hear from John Bolton, the former national security adviser at the White House, who others have said raised alarms about the alternative foreign policy toward Ukraine being run by Mr Giuliani.
"Today we will make history", Pelosi said as she signed the documents, using multiple pens to hand out and mark the moment.