First announced two months ago, the state of emergency heralded a full lockdown that confined Palestinians to their homes, except for essential travel. Border crossings with Israel and Jordan were closed.
But conditions were eased last month, with some businesses allowed to open in the hope of reviving the paralysed Palestinian economy. On Sunday, Abbas's administration allowed tens of thousands of Palestinians labourers to resume jobs in Israel.
Mosques and educational institutions remain closed and Palestinian authorities are still banning public congregations.
The Palestinians have reported 345 coronavirus cases and two deaths in the West Bank, where some 3 million Palestinians live.
In the Gaza Strip, a Palestinian territory under the control of Abbas's Islamist Hamas rivals, 17 cases have been reported among a population of some 2 million. Hamas has shuttered Gaza's mosques and schools and restricted large gatherings, but said a full lockdown was not necessary.
The West Bank and Gaza are 40 km (25 miles) apart and separated by Israel.