Prop Marler appeared to grasp the genitals of Alun Wyn Jones in the first half at Twickenham, leading the Wales captain to call on World Rugby to examine the footage.
The 29 year-old has been accused of an alleged infringement of law 9.27, which states that "a player must not do anything that is against the spirit of good sportsmanship – hair pulling or grabbing; Spitting at anyone; Grabbing, twisting or squeezing the genitals (and/or breasts in the case of female players)".
Lawes is also facing possible sanctions for a high tackle, also on Jones, in the second half.
The players face a disciplinary hearing on Thursday along with Manu Tuilagi, who was given a red card for a challenge on George North.
England's victory, coupled with France's defeat to Scotland, leaves Eddie Jones' side top of the standings with one match to play.
That game against Italy, scheduled for 14 March in Rome, has been postponed due to the spread of the coronavirus.