The Andrew Holness led Cabinet reaffirmed the principle of Separation of Powers for judges.
It issued a statement on the matter on Tuesday afternoon.
This followed Monday's meeting involving judges which affected courts across the island.
The Cabinet responded to the declaration issued by the judges.
It said it welcomed the acknowledgement by the judges that there are concerns about inefficiencies, deficiencies and delays in the justice system, and agreed that much more needs to be done for timely justice outcomes.
Cabinet said the declaration by the judges is unprecedented in Jamaica's governance arrangements, considering that other avenues were available to resolve the matters raised.
The Government said it acknowledges the right and duty of the judges to zealously safeguard and preserve their judicial independence and the separation of powers.
Notwithstanding, this it said this must be done in such a way that does not undermine another arm of the state, negatively affect the economy or compromise the Rule of Law.