Most professional headshot photographers use strobes for their studio work, but of course, that does not mean you can't use continuous or even natural light for your work. This excellent video tutorial from the one and only Peter Hurley will show you how to use both natural light and continuous lighting for taking headshots.
Coming to you from our old friend, Peter Hurley, with B&H Photo and Video, this excellent video tutorial will show you how to use both natural light and continuous lighting for headshot work. A lot of pros use strobes for such work, both because they are more powerful and are generally more established. Continuous lighting can be much more convenient, as you can see actually how your subject is lit at all times and make adjustments without having to take a shot to check that things are how you want them to be. The downside is that continuous lights are generally less powerful than strobes, but in a studio, that often isn't a problem. Check out the video above for the full rundown from Hurley.
If you would like to learn more from Peter Hurley about lighting for portraits, be sure to check out "Illuminating The Face: Lighting for Headshots and Portraits With Peter Hurley!"