The ceremony was to take place Saturday evening at the Ray Dolby Ballroom at the Hollywood & Highland Center, the Los Angeles Times reported.
Lansbury's award comes nearly 70 years after she was nominated for supporting actress for her role as a maid in "Gaslight."
"It's very, very special for me," said Lansbury in a phone interview. "It is very unique and wonderful to receive at my time of life though I am still in the running -- doing things and acting."
"When a light shines brightly, it really lasts a long time," academy President Cheryl Boone Isaacs said. "I would say Miss Lansbury is a perfect example of a light shining brightly. Her skill, her passion for acting is such that she has influenced many actors and actresses, I would say, through the years."
Jolie is receiving the Jean Hersholt Humanitarian Award.