A high-quality 1 GeV electron beam was produced using a 3.3-cm-long gas-filled capillary discharge waveguide, which channels a 40 TW peak-power laser pulse. This approach enables compact, high-energy electron accelerators, which are essential for synchrotron radiation facilities and free-electron lasers. Traditional radiofrequency accelerators are limited by low accelerating fields, requiring long distances to achieve high energies. In contrast, laser-wakefield accelerators can generate high electric fields, enabling compact devices. However, previous experiments were limited by insufficient laser intensity over the required distance to reach GeV energies. The key breakthrough was the use of a gas-filled capillary discharge waveguide to guide the laser pulse over centimetre-scale distances, allowing for efficient acceleration. This method overcomes the limitations of gas-jet experiments by using a plasma channel with lower density and higher guiding efficiency. The experiments used a 10 Hz repetition rate Ti:sapphire laser system delivering pulses as short as 40 fs with up to 40 TW peak power. These pulses were focused to a spot size of 25 μm at the capillary entrance. The electron beam energy was measured using a 1.2 T magnetic spectrometer, which deflected the electrons onto a phosphor screen. The results showed a 0.5 GeV and 1.0 GeV electron beam with low energy spread and small divergence. The performance of the accelerator was reproducible for specific delays and laser power levels. The results demonstrate the feasibility of compact GeV accelerators driven by tens of TW of laser power. The study also highlights the importance of matching the acceleration length to the dephasing length for optimal performance. The findings have significant implications for future applications in high-energy physics and radiation sources.A high-quality 1 GeV electron beam was produced using a 3.3-cm-long gas-filled capillary discharge waveguide, which channels a 40 TW peak-power laser pulse. This approach enables compact, high-energy electron accelerators, which are essential for synchrotron radiation facilities and free-electron lasers. Traditional radiofrequency accelerators are limited by low accelerating fields, requiring long distances to achieve high energies. In contrast, laser-wakefield accelerators can generate high electric fields, enabling compact devices. However, previous experiments were limited by insufficient laser intensity over the required distance to reach GeV energies. The key breakthrough was the use of a gas-filled capillary discharge waveguide to guide the laser pulse over centimetre-scale distances, allowing for efficient acceleration. This method overcomes the limitations of gas-jet experiments by using a plasma channel with lower density and higher guiding efficiency. The experiments used a 10 Hz repetition rate Ti:sapphire laser system delivering pulses as short as 40 fs with up to 40 TW peak power. These pulses were focused to a spot size of 25 μm at the capillary entrance. The electron beam energy was measured using a 1.2 T magnetic spectrometer, which deflected the electrons onto a phosphor screen. The results showed a 0.5 GeV and 1.0 GeV electron beam with low energy spread and small divergence. The performance of the accelerator was reproducible for specific delays and laser power levels. The results demonstrate the feasibility of compact GeV accelerators driven by tens of TW of laser power. The study also highlights the importance of matching the acceleration length to the dephasing length for optimal performance. The findings have significant implications for future applications in high-energy physics and radiation sources.