The move follows allegations of corruption within President Edgar Lungu’s administration.
The UK takes a “zero-tolerance approach to fraud and corruption”, the UK’s Department for International Development (DfID) said in a statement.
Ireland, Finland and Sweden have also suspended aid.
More than 50% of Zambia’s 17 million people live below the poverty line, the World Bank says.
The aid freeze by the UK is believed to affect the education, health and nutrition sectors, as well as social cash transfers for the poorest Zambians.
The money had gone missing from the Social Cash Transfer programme, which allocates money that is paid directly to the poorest, Mr Chanda confirmed.
The government was committed to taking action but was still awaiting the final results of its four-month audit, Mr Chanda said.
“The president wants answers within a week,” he added.
‘Expensive vehicles bought with diverted money’
DfID said it had put direct financial support to the Zambian government on hold while investigations continued.
“There is no evidence that confirms any loss of UK taxpayers’ money,” it added.
A statement from the Swedish government’s aid agency, Sida, said there had been “strong suspicions of irregularities”.
The corruption has also affected Zambia’s health and education ministries, the UK-based journal, Africa Confidential, reports.
It says that a report by Zambia’s auditor general highlighted that people in the ministry of education established shell companies to divert funds.
Money from the Social Cash Transfer programme was used to buy expensive vehicles, Africa Confidential adds.
The UK government has not confirmed the amount of aid that has been affected.
The aid suspension comes as Zambia’s debt levels face increasing scrutiny.
The International Monetary Fund said it has suspended lending to the country as it is worried that its debt is unsustainable.