WASHINGTON—Secretary of State Mike Pompeo said the U.S. would withdraw all remaining staff from its embassy in Venezuela due to the deteriorating situation there after several days of power outages sent the country deeper into chaos.

Critical health services, food supplies and businesses have been crippled by the blackout that has killed at least 15 people and continues across the country despite efforts to restore power.

The outages have escalated the standoff between the U.S. and Venezuela’s embattled leader, Nicolás Maduro, who has accused Washington of playing a role in the chaos. The U.S. has denied involvement in the blackout and said the blame lies with the government for neglecting the energy system.

“This decision reflects the deteriorating situation in Venezuela as well as the conclusion that the presence of U.S. diplomatic staff at the embassy has become a constraint on U.S. policy,” Mr. Pompeo said in a statement.

The withdrawal of remaining staff follows the decision in January to pull all nonessential personnel from the embassy after Mr. Maduro cut diplomatic relations with Washington and ordered U.S. diplomats to leave the country within 72 hours. It wasn’t immediately clear when the remaining embassy personnel would leave.