The increase is the latest trend showing the resurgence of the coronavirus.
The average increase over the first seven days of this month reached roughly 2,135, up from about 590 cases a day in early October. The average caseload increase for the first week of September was just 337 cases, according to state Health Department figures.
The death toll climbed by 21 overnight, Murphy, a Democrat, reported. The total stands at 14,661.
"These numbers are devastating. We are still in the midst of a pandemic. Wear a mask. Social distance. Stay safe," Murphy said in a tweet.
The caseload hasn't reached nearly 4,000 overnight since April at the height of the outbreak, though testing has increased since then.
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The so-called second wave led Murphy this week to announce that indoor dining at bars and restaurants must halt from 10 p.m. to 5 a.m. beginning on Thursday.
The governor also said bar seating must be halted, along with interstate indoor school sports. College and professional teams were not covered by the order.