The High court has allowed the at Uhuru Park on Wednesday.
Justice George Odunga said they should not violate other people's rights or incite their supporters to violence.
He also asked the coalition not to make statements that boader on ethnic hatred and propaganda.
Making the
ruling
on Tuesday, the judge further ordered the police to provide security during, before, and after the rally.
"This is to ensure other Kenyans go on about their businesses without interruption," he said.
The coalition moved to court after the
them from holding the rally.
Cord planned parallel Madaraka Day celebrations, a move that was contested by Prayers Beyond Boundaries Ministries .
Government spokesman Erick Kiraithe said the decision to ban the two rallies was arrived at by the
National Security Advisory Committee, after noting that
the two events posed a security threat.
Read:
Cord has plans to hold the meeting to mirror the celebrations that are to be led by on the same day.
Uhuru Park had also been booked by the Prayers Beyond Boundaries Ministries for a three day prayer meeting that was to end on June 2.
On Tuesday, to discuss the IEBC stalemate and determine whether Cord's planned Madaraka Day rally in Uhuru Park will go ahead.