NEW YORK, JUNE 1 -- Jacqueline Kennedy Onassis left the bulk of her estate to her two children and, in a move to guard her privacy even after death, instructed them to keep her personal papers from ever becoming public.

According to her 36-page will released today, her longtime companion, millionaire financier Maurice Tempelsman, was named executor of the estate, making him responsible for carrying out her wishes. He was given a Greek statue.

The 15-room apartment they shared on Fifth Avenue will become the property of the children, who will also each receive $250,000 in cash and the principal from a trust fund established by their father.

They are also left the contents of the apartment and two pieces of property in Martha's Vineyard.

Among other bequests, Onassis left $250,000 to Nancy Tuckerman, her longtime spokeswoman whom she described as "my close friend and confidant."

Her stepbrother Hugh Auchincloss was given Hammersmith Farm in Newport, R.I., which she inherited from her mother.

Rachel Mellon of Middleburg was given two small Indian paintings "in appreciation of her designing the Rose Garden in the White House."

Reflecting Onassis's strong desire for privacy, the will directs that her children, John F. Kennedy Jr. and Caroline Kennedy Schlossberg, be given her personal papers. She said that they must "take whatever action warranted to prevent the display, publication or distribution in whole or in part of these papers, letters and writings."

Onassis died May 19 at the age of 64 from lymphatic cancer. In a moving ceremony, she was buried next to her assassinated husband, John F. Kennedy, at Arlington National Cemetery.

The total value of the estate was not disclosed. While Onassis had considerable wealth, including millions from her second husband, Greek shipping tycoon Aristotle Onassis, she was believed to have given away much of her wealth before her death.

She made no provision for her sister, Lee Radziwill, "for whom I have great affection," because "I have already done so during my lifetime," Onassis said in the will.

Radziwill's son and daughter, Anna and Anthony, will share the income from a $1 million trust fund for the next 10 years.

Tempelsman, a diamond investor, was left only the statue, described as "my Greek alabaster head of a woman."

He will receive considerable fees as executor of the estate.

Aside from other bequests ranging from $25,000 to $125,000, the rest of the estate will be placed in the C&J Foundation, a charitable trust.

The trust will be dissolved in 24 years with the money to go to Onassis's grandchildren.

Attorney Alexander Forger, an Onassis friend, was also left the former First Lady's copy of John F. Kennedy's inaugural address, signed by Robert Frost, who read one of his poems at the ceremony.