Employees at the Apple store in the town of Towson, outside of Baltimore, voted to unionize in 2022 -- another first for the iPhone maker's US stores.
But a contract has yet to be agreed upon.
"Following over a year of negotiations with Apple management that yielded unsatisfactory outcomes," union members are "signaling their collective demand for meaningful change," a union statement said.
"The issues at the forefront of this action include concerns over work-life balance, unpredictable scheduling practices disrupting personal lives, and wages failing to align with the area's cost of living."
The Towson store has about 100 employees. A majority of them were required to vote for the result to be valid.
The next negotiation meeting is scheduled for May 21, though a strike could come before that.
Meanwhile, employees at another of the California-based company's stores, in New Jersey, voted down a unionization effort over the weekend.
Apple did not immediately respond to an AFP request for comment. In a statement to CNN it said it would "engage with the union representing our team in Towson respectfully and in good faith."
The National Labor Relations Board, the federal labor regulator, has received numerous complaints against Apple accusing it of trying to discourage staff from unionizing.
US tech companies in general are seen as hostile toward unionization efforts -- notably Amazon.
In September, nearly a quarter of Apple store employees in France went on strike the day the iPhone 15 launched, demanding a pay raise at least equal to inflation.
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