In this paper, we discuss the inverse nodal problems for discontinuous Sturm–Liouville operators with Robin boundary conditions. We show that the potential q up to its mean value on the interval [0,1] and coefficients h, H , can be uniquely determined by the twin-dense nodal subset on the subinterval [a0,b0], . In addition, we still establish several uniqueness theorems by the left twin-dense nodal subset on the interval and additional information, respectively.