No Man’s Sky will automatically create a save game whenever you exit your starship (e.g. land on planet or in space station). You can enter and quickly exit your ship and a restore point is created. The ship can stay “parked” for this (no need to fly around and land again. Just get in and out).
While there is no menu option to save, you can indeed create manual save games by visiting waypoints on the surface of planets. They are marked as points of interest with a green question mark. Use your ship’s scanner to find these points of interest quickly. They look like small beacons / antennas. The game counts them as discoveries. You can save your game there as often as you like.