<p>This work introduces, for the first time, an exact analytical solution describing steady conjugate heat transfer from a circular cylinder subjected to a low Reynolds number crossflow. The analysis rigorously solves the heat conduction equation within the cylindrical shell and the Oseen-type convective transport equation in the surrounding fluid. These solutions are seamlessly coupled at the solid–fluid interface to ensure complete physical and mathematical consistency. Represented as infinite series expansions in orthogonal functions, the resulting expressions provide closed-form descriptions of the temperature distributions in both the solid and fluid regions, along with explicit formulae for the local and average Nusselt numbers. Parametric investigations explore the influence of key factors, including shell thickness, the thermal conductivity ratio between the fluid and the solid and the Reynolds number, on interfacial temperature and heat transfer rates. A correlation involving drag coefficient, Reynolds number and Nusselt number is presented, offering insight into the competitive dynamics between momentum and heat transfer in conjugate heat transfer from hollow cylinders at low Reynolds numbers. The outcomes are pertinent not only to the fundamental understanding of conjugate heat transfer phenomena but also to engineering applications, such as the thermal performance evaluation of constant-temperature hot-wire anemometers. Furthermore, owing to the analogy between heat and mass transport, the analytical framework developed here is equally applicable to conjugate mass transfer from cylindrical bodies.</p>