It cited concerns over how the Taliban’s takeover will impact “the country’s development prospects, especially for women”.
The move comes just days after the International Monetary Fund (IMF) suspended payments to Afghanistan.
The Biden administration has also frozen the assets of Afghanistan’s central bank that are held in the US.
“We have paused disbursements in our operations in Afghanistan and we are closely monitoring and assessing the situation in line with our internal policies and procedures,” a World Bank spokesperson told the BBC.
Since 2002 the Washington-based financial institution has committed more than $5.3bn (£3.9bn) to reconstruction and development projects in Afghanistan.
On Friday, the World Bank told staff that its Kabul-based team and their immediate families had been safely evacuated from Afghanistan to Pakistan.
The decision by the World Bank to suspend payments to Afghanistan is the latest financial blow to the country’s new government.
Last week, the IMF announced that Afghanistan will no longer be able to access the global lender’s resources.
An IMF spokesperson said it was due to a “lack of clarity within the international community” over recognising a government in Afghanistan.
Around $440m of new monetary reserves had been set to be made available to the country from 23 August.