No cap, but an unforgiving fault rule
DC imposes no statutory cap on compensatory damages in personal injury cases. But DC is one of only a handful of US jurisdictions still applying pure contributory negligence: if you're found even 1% responsible for your own injury, you're barred from recovering anything at all — there's no partial recovery the way there is in a comparative negligence state.
Since 2016, DC Code §50-2204.52 creates a real exception for "vulnerable users" — pedestrians, bicyclists, and similar road users involved in a motor vehicle collision. These claimants get modified comparative negligence instead, recovering as long as their fault is 50% or less.