Following the recent suggestion that oxidative damage to lipids might involve the formation of C‐2 glyceryl radicals, in addition to main‐chain allylic radicals, which are generally thought important, we studied the kinetics of potential ‘repair’ reactions by vitamin E and vitamin K1 (which are lipophilic and tend to locate in cell membranes) with 1,1,2‐trimethylallyl and 1‐acetoxyprop‐2‐yl radicals as models of, respectively, main‐chain and glyceryl‐type radicals. The second‐order rate constants for the reaction between trimethylallyl radicals and vitamin E and vitamin K1 are 9.38 × 106 and 3.54 × 108 l mol−1 s−1 and those between 1‐acetoxyprop‐2‐yl radicals and vitamin E and vitamin K1 are 1.76 × 108 and 2.03 × 106 l mol−1 s−1, respectively. The results suggest that direct scavenging of glyceryl radicals by vitamin E should be an efficient process, and of main‐chain allylic radicals fairly so. Additionally, it appears that vitamin K1 can act directly as a ‘radical repair agent,’ given its relatively high reactivity with allylic radicals (four times faster than with vitamin E), so prior reduction to the quinol form may be unnecessary. Copyright © 2000 John Wiley & Sons, Ltd.