Simone Biles also withdrew from the bridge and vault finals on Saturday.
The American top gymnast suffers from 'twisties', which are caused when body and mind are not in balance.
24-year-old Biles withdrew from the Nations Cup on Tuesday due to mental problems and also missed the all-around final on Thursday.
It has now been decided in consultation with the medical staff that Biles will not compete for the medals on bridge and jump.
The American wrote on Instagram this week that she no longer has a sense of direction during exercises.
"It's really scary to do an exercise when body and mind are not in balance. It seems to be due to stress, but I don't know if that's the case with me."
It remains to be seen whether Biles can participate in the floor and beam finals.
The medical staff of the American team reviews her situation on a daily basis.
MyKayla Skinner takes Biles' place in the jump final.
In the run-up to the Games, all gymnastics eyes were on Biles.
Five years ago, the gymnastics legend captured Olympic titles in vault, floor and all-around (individually and with a team) at the Olympic Games in Rio de Janeiro.
Multiple world champion Biles finished the Games in 2016 with a total of five medals by taking bronze on beam.
The gold then went to Sanne Wevers.
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