Houston died Feb. 11 in Los Angeles at the age of 48. The cause of the singer's death is under investigation, but a lethal mixture of prescription drugs and alcohol is suspected. The recording star battled substance abuse for years.
"Inside Edition" said Houston's money will be placed in a trust in keeping with her 2000 will. Her mother, Cissy, is the executor of her estate, and her brother and sister-in-law are the trustees.
Bobbi Kristina, 18, will get some of the money when she turns 21 in two years, then more when she turns 25 and the final sum at age 30.
Houston's ex-husband, singer Bobby Brown, who is Bobbi Kristina's father, is to receive nothing, "Inside Edition" said.