  Quantum degenerate atomic gases are prominent platforms for quantum
simulation and high precision sensing. A key challenge for these applications
is intrinsic atom loss, which limits quantum gas lifetimes to typically tens of
seconds. Here we create a Bose-Einstein condensate of $^{84}\mathrm{Sr}$ atoms
that is sustained in steady state for minutes. We achieve this by guiding a
continuous stream of Sr gas through a sequence of spatially separated laser
cooling stages, until it reaches the condensate's location, which we protect
against harmful laser cooling photons. This steady-state quantum degenerate gas
paves the way to design and study novel driven-dissipative, non-equilibrium
quantum systems, and overcomes a key bottleneck in the realization of a
continuous-wave atom laser.
