The statement was issued after Ivana Trump was interviewed on ABC's Good Morning America on Monday. She said spoke to Mr Trump about once a week but did not like to telephone the President at the White House directly as she did not want to create jealous feelings.
"Melania is there and I don't want to cause any kind of jealousy or anything like that because I'm the first Trump wife," she said laughing. "I'm the first lady, OK?"
Ivana is currently promoting her memoir Raising Trump, which details how she brought up her three children - Eric, Donald Jr and Ivanka - with her then husband.
The couple married in 1977 and divorced in 1992.
During the interview, she said she was not concerned about the federal investigation into alleged Trump campaign links to Russia or any connection to Donald Jr, who has been asked to testify.
"I know that he was not involved at all in any wrongdoing," she said.
Mrs Trump, who grew up in Czechoslovakia, also discussed immigration, saying: "I'm (an) immigrant myself and Donald is building the wall. I don't mind immigrants and the wall because you have to protect your borders."