It saves automatically pretty regularly, so you should never have to worry about losing much progress if you quit out of the game before you save or check that it has saved. The game saves whenever you see a little Shadow of the Tomb Raider 'TR' logo appear in the corner of the screen.

How do you save on Tomb Raider?

To do that, simply open up the pause menu and then select the “change save slot” option. You can then continue playing with a new save game slot, and can load up the other save from the main menu whenever you want.

How do you save progress in Rise of the Tomb Raider?

Each time you pass a checkpoint, you'll see the spinning "TR" logo at the bottom of the screen as the game automatically saves your current progress. When you quit the game, start again, and click Continue, the game loads the last autosave checkpoint.