Terms:

handling (ordnance)
handover
handover/crossover
hang fire
harassment
harbor
harbor defense
hard beach
hardware
harmonization
hasty breaching (land mine warfare)
hatch
hatch list
havens (moving)
hazard
hazards of electromagnetic radiation to fuels
hazards of electromagnetic radiation to ordnance
hazards of electromagnetic radiation to personnel
heading hold mode
heading select feature
head of contracting activity
health care provider
health hazard assessment
health service logistic support
health service support
health surveillance
health threat
heavy antitank weapon
heavy artillery
heavy drop
heavy-lift cargo
helicopter landing zone
helicopter transport area
herbicide
HERO SAFE ordnance
HERO SUSCEPTIBLE ordnance
HERO UNSAFE ordnance
H-hour
high airburst
high altitude bombing
high-altitude low-opening parachute technique
high-altitude missile engagement zone
high-density airspace control zone
high explosive cargo
high-payoff target
high-payoff target list
high-risk personnel
high value airborne asset protection
high value asset control items
high-value target
high-water mark
hinterland, far
hinterland, near
hi-value asset control item
holding attack
homeland
homeland defense
homeland security
home recovery mission profile
home station
homing guidance
horizon
horizontal stowage
hospital
hostage
hostage rescue
host country
hostile
hostile act
hostile casualty
hostile environment
hostile force
hostile intent
hostile track
host nation
host-nation support
host-nation support agreement
hot photo interpretation report
hot pursuit
howitzer
hub
hub and spoke distribution
human factors
humanitarian and civic assistance
humanitarian assistance
humanitarian assistance coordination center
humanitarian demining assistance
humanitarian mine action
humanitarian operations center
human resources intelligence
hung ordnance
hydrographic reconnaissance
hyperspectral imagery