We measure firms’ wage-setting power in 16 Latin American and Caribbean countries. Exploiting variation in firms’ exposure to trade and exchange rates, we generate shocks to labor demand to trace out firm-level labor supply curves and quantify labor market power. We estimate an inverse labor supply elasticity of 0.82, implying that workers receive 55 cents per additional dollar produced. Wage-setting power is significantly higher among firms in countries with lower union density, limited collective bargaining, and no unemployment protection.