Kumari had quit last week taking moral responsibility of defeat of AAP's candidate in the MCD by-poll in her constituency.
In a statement, Delhi Legislative Assembly said, Goel has accepted Kumari's resignation.
"With this, the office of Deputy Speaker of Legislative Assembly of NCT of Delhi has fallen vacant w.E.F. The fore-noon of Saturday, the 4th of June, 2016," the statement said.
Party sources said Mangolpuri MLA Rakhi Birla will replace Kumari and she is expected to be administered the oath of office during the up-coming Assembly session next week.
By making Birla the deputy speaker, AAP sources said, it wants to send a positive message to the dalit community. Birla was also a minister in the previous AAP government, but had not found any place in the Cabinet this time.