Digital-analog quantum computing (DAQC) is an alternative paradigm for universal quantum computation combining single-qubit gates (digital) with global quantum operations (analog) on a register of interacting qubits. Currently, no available open-source software is tailored to build DAQC programs. In this work, we present Qadence, a high-level programming interface for building complex digital-analog quantum programs. Thanks to its flexible interface, native differentiability, and focus on real device execution, Qadence aims at advancing the research on quantum machine learning algorithms built for native DAQC platforms such as Rydberg atom arrays.