A method of making a carbon foam comprises subjecting a precursor composition comprising an amount of at least partially decomposed lignin to a first pressure for a first time, optionally, while heating the precursor composition to a first temperature; heating the compressed precursor composition to a second temperature for a second period of time while subjecting the compressed precursor composition to a second pressure to further decompose the at least partially decomposed lignin and to generate pores within the compressed precursor composition, thereby providing a porous, decomposed precursor composition; and heating the porous, decomposed precursor composition to a third temperature for a third time to carbonize, and optionally, to graphitize, the porous, decomposed precursor composition to provide the carbon foam. Also provided are the carbon foams and composites made from the carbon foams.