Their joint £730m fortune ranks them at 222 of the paper’s annual list.
Recently, Ms Murty’s tax affairs came under scrutiny after it was revealed she had “non-dom” status – meaning she did not pay UK tax on overseas income.
Ms Murty, the daughter of an Indian IT billionaire, later agreed to pay UK taxes on all her earnings.
It is estimated her use of non-dom status could have saved her £20m in taxes.
The Sunday Times said the couple had made their first appearance on the Rich List now because it was only able to confirm Ms Murty’s stake in her father’s business over the last year.
Mr Sunak was later cleared of breaching the ministerial code after referring himself to Prime Minister Boris Johnson’s standards adviser to check if he had properly declared all his interests.