The Daystar University Students Association wants the institution reopened immediately, suspensions revoked and an apology issued.
Daystar's Athi River and Nairobi campuses were closed indefinitely last Thursday following student unrest, a decision that was announced by acting Vice Chancellor James Kombo
But in a statement on Monday, Dusa gave the management seven days to restore operations, failure of which legal action will be taken.
The students want a report that followed a forensic audit released to the entire community and its recommendations implemented.
"Dusa understands these are delay tactics to doctor the report and individually target students," it said in a statement.
"In addition, we condemn the continued, threats, violation of students’ rights to education and protection of those who have embezzled and mismanaged university resources."
The students also want a guarantee that leaders of Dusa, Dugsa and Ssadu will be safe inside and outside the university.
They want the "illegal" suspensions of students and staff lifted without condition and another guarantee that there will be no victimisation.
"Immediate disciplinary action [should] be taken against the officer who invited unidentified men to harass and assault students at Nairobi campus, DVC Finance and Administration Jomo Gatundu and Security Coordinator Grace karimi," the association said and demanded a public apology.
Dusa further asked the Education and Interior ministries to intervene "to save the lives of young people in Daystar University".
The statement included the names of people who were accused of defaming the university by remaining silent as illegal actions are taken against the students' union.