Rebecca Blank will continue serving as acting secretary after stepping into the role when Bryson began a leave of absence two days after the accident.
In a letter to employees, Bryson said he did not want to distract from department’s job and expressed confidence in Blank’s ability to lead the department.
He also expressed his desire to continue supporting U.S. businesses in a personal capacity.
Bryson had been secretary for eight months after being nominated to succeed Gary Locke, who became U.S. ambassador to China.