Morris also must repay expenses related to tryouts for NBA teams, the NCAA said in a statement.
The conditions were imposed "based on the seriousness of multiple rules violations involving dealings with an agent and accepting expenses to tryout for NBA teams," the NCAA said.
Morris will have have two years of eligibility remaining after this year.
Kentucky spokeswoman Mandy Polley said the school plans an immediate appeal.
The NCAA student-athlete reinstatement staff said an agency marketed Morris' skills to NBA teams. The agency scheduled, arranged and confirmed workouts with NBA teams and sought feedback from teams on Morris' draft status.
The Division I Legislative Review and Interpretation Committee said those activities represented an implicit agreement with the agency, the NCAA said.
Morris also received more than $7,000 from nine NBA teams for expenses related to tryouts. NCAA legislation states that summer tryouts are permitted, but student-athletes may not receive expenses or other payment from NBA teams.
The reinstatement staff did not declare Morris permanently ineligible because there was no explicit written or oral agreement with an agent.
Morris started 33 of 34 games last season, averaging 8.8 points and 4.2 rebounds as Kentucky finished 28-6.
After the season, Morris returned to his hometown of Atlanta and entered his name in the NBA draft, however he was not one of the 60 players taken in the June 28 draft.
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