The guest list has been decided by Lady Thatcher's family and representatives, along with the government and the Conservative Party.
It includes family and friends of Lady Thatcher and those who worked with her over the years, including members of her cabinets and representatives from a range of groups with which she was associated.
Those also invited include staff who worked closely with Lady Thatcher or who served her in some personal capacity, such as housekeepers who looked after her office in the Houses of Parliament.
Ten members of staff from the Ritz hotel, where Lady Thatcher was staying when she died, have been invited.
About 200 states, territories and international organisations have been invited to send an official representative.
Argentina's president has not been invited but the country's ambassador to Britain has. Downing Street says this is in keeping with diplomatic protocol for such occasions.
The Queen will lead the mourners with the Duke of Edinburgh.
St Paul's has a capacity of 2,300 and is expected to be full on the day.
Invitees include:
Some of those who have confirmed their attendance include:
Among those not attending:

Scarlet flew back into the lives of the Underhill family when she found nine-year-old Shannon during lunch break.
The talkative African Grey swooped into the playground of Llangewydd Junior School, Bridgend, a quarter of a mile from the family's Laleston home.
"I was nearly crying I was so happy," said Shannon, whose mother called the parrot's return a miracle.
She and her family had feared they would never see Scarlet again.
The bird escaped from her cage at the family home on Saturday.
When a teacher approached Shannon in the playground following Scarlet's arrival, the bird squawked: "Do you want a kiss?"
The school then called Shannon's father, Mark, and four-year-old Scarlet greeted him with the words "Hello daddy".
Shannon's mother Emma said: "After Scarlet was gone for more than 24 hours we never ever expected to get her back.
"But then I got a call from the school.
"I could not believe it and I said 'you must be joking' but the secretary told me 'no, she's sitting here right here on Shannon's shoulder."
School administration officer Charlotte Jury said: "I like to think she wanted to go home, and she found Shannon - the person who could take her there."
Further details of guests invited to attend the funeral of Baroness Thatcher at St Paul's Cathedral on Wednesday have been released.
[NEXT_CONCEPT]
A missing parrot turned up two days after it disappeared by landing on the shoulder of its young owner at school.