the Josephson junction (JJ) is the corner stone of superconducting electronics and quantum information processing. While the technology for fabricating low T c JJ is mature and delivers quantum circuits able to reach the "quantum supremacy", the fabrication of reproducible and low-noise high-T c JJ is still a challenge to be taken up. Here we report on noise properties at Rf frequencies of recently introduced high-T c Josephson nano-junctions fabricated by mean of a Helium ion beam focused at sub-nanometer scale on a YBa 2 cu 3 o 7 thin film. We show that their current-voltage characteristics follow the standard Resistively-Shunted-Junction (RSJ) circuit model, and that their characteristic frequency f c = (2e/h)I c R n reaches ~300 GHz at low temperature. Using the "detector response" method, we evidence that the Josephson oscillation linewidth is only limited by the thermal noise in the RSJ model for temperature ranging from T ~ 20 K to 75 K. At lower temperature and for the highest He irradiation dose, the shot noise contribution must also be taken into account when approaching the tunneling regime. We conclude that these Josephson nano-junctions present the lowest noise level possible, which makes them very promising for future applications in the microwave and terahertz regimes. The astonishing recent evolution of Information and Communication Technologies (ICTs) is based on an accurate control of quantum properties of semiconductors at sub-micron scales. As some limitations appear, new paradigms emerge to further improve the performances of ICT devices, based on coherent quantum states and nano-scale engineering. Superconductivity is a very interesting platform which provides robust quantum states that can be entangled and controlled to realize quantum computation and simulation 1 , or classical computation at very high speed using the so called SFQ (Single Flux Quantum) logic 2. This platform can also be used to make detectors of electromagnetic fields and photons operating at the quantum limit, i.e. with unsurpassed sensitivity and resolution. These quantum sensors can be used for classical or quantum communications 3 , THz waves detection and imaging 4 , sensitive high frequency magnetic fields measurements 5,6. Impressive results have been achieved in the recent years with devices based on Low critical Temperature (T c) Superconductors (LTS) working at liquid helium temperature, and well below for Quantum Computing. The main building block of this superconducting electronics is the Josephson Junction (JJ), a weak link between two superconducting reservoirs. While the technology for LTS JJ of typically 1 μm in size required for complex systems is mature 2 , other ways are explored to downsize the JJ using Carbon Nano-Tubes 7 , Copper nanowires 8 or LaAlO 3 /SrTiO 3 interfaces 9 for examples. The complexity and the cost of the needed cryogenic systems are clearly obstacles for large scale applications of such devices. High-T c superconductors (HTS) operating at moderate cryogenic temperature (≤40 K) appea...