A review into her emails revealed she had used her private address to contact government officials.
Ms Trump sent the emails before she was briefed on the rules, her lawyer says.
In 2016, her father Donald Trump accused Hillary Clinton of putting the US "in danger" over her use of a private email while secretary of state.
On Monday, The Washington Post reported that while Ms Trump's emails contained mostly logistical and personal information, some may still have been in violation of federal records rules.
How serious is this?
A Trump administration official told CBS News that Ms Trump's emails did not contain classified information, and what had occurred was basically a lack of understanding of the rules.
Ms Trump stopped using her personal address for government correspondence after she was informed that she should not be doing so, the official said.
However Austin Evers, from a group called American Oversight, which submitted the freedom of information request that led to the discovery of Ms Trump's use of personal email last year, said the "president's family is not above the law".
"There are serious questions that Congress should immediately investigate," Mr Evers said in a statement.
"Did Ivanka Trump turn over all of her emails for preservation as required by law? Was she sending classified information over a private system," he added.
What did Trump say about Clinton's emails?
During his presidential campaign in 2016, Donald Trump said that Mrs Clinton's use of a private server to send official emails while in her post as secretary of state in 2009 was a scandal "bigger than Watergate".
He repeatedly criticised her conduct, calling her actions "illegal" and a threat to the security of the US.
At the time of his campaign, Mr Trump frequently encouraged crowds at rallies to chant "lock her up" and vowed to imprison Mrs Clinton over the saga.
He also called on Russia to help locate some 30,000 emails that Mrs Clinton had not turned over to investigators after she, or her lawyers, determined it was unnecessary as they were personal messages.
What was the Clinton email saga all about?
Before becoming secretary of state, Mrs Clinton set up an email server at her home in Chappaqua, New York, that she used for all work and personal emails during her four years in office.
She did not use, or even activate, a state.gov email account, which would have been hosted on servers owned and managed by the US government.
She said it was for convenience.
Hillary Clinton emails - what's it all about?
Mrs Clinton maintains that most of her emails from her personal account went to, or were forwarded to, people with government accounts, so they were automatically archived.
An FBI investigation concluded that Mrs Clinton should not face charges, but said she and her aides had been "extremely careless" in their handling of classified information.
Mrs Clinton has been cleared twice by the FBI over her use of a private email server while secretary of state.
Are private emails illegal?
It is not illegal for White House officials to use personal email accounts for government business.
However, under the Presidential Records Act and Federal Records Act, government officials must forward any official correspondence to a work account within 20 days for preservation.
If this is not done reliably, the use of private accounts can put official records beyond the reach of journalists, lawmakers and others who seek publicly available information.
There are also rules against sharing classified or privileged information on personal email accounts.
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