Abstract Pay inequality stems both from firm pay-setting and from workers' individual characteristics. Yet, intergenerational mobility research focuses on transmission of individual traits, and has failed to test how firms shape the inheritance of inequality. We study this question using three decades of Swedish population register data, and decompose the intergenerational earnings correlation into firm pay premiums and worker effects. One quarter of the intergenerational earnings correlation at midlife is explained by sorting between firms with unequal pay. Employer or industry inheritance account for a small share of this firm-based earnings transmission. Instead, high-education and high-occupation workers disproportionately land at high-paying firms. Parental referral networks and the inheritance of industry and labor market context play a supplementary role. As workers with high-education or high-status jobs are increasingly also employed at high paying firms, firm sorting could become increasingly important to intergenerational earnings transmission.