Hack Hack Cut: For reasons too obscure to explain here, a crazy man decides to cut off his toes. (Gimmie Comics 1 (1973))

Haiku!: See Coo Coo! Haiku! Sez You! City Zoo! Dien Bein Phu!

Harrr!:
See Arrr! Harrr!
See Hrrrgh! Nrrrgh! Rrrrgh! Harrr! Arrr! Grrr

Hit: See Push! Grab! Bash Hit Rip Shred Smash Crash Fight

Honk!:
(1) The sound of a Morty Dog's nose being squeezed as he sits in a radioactive isolation chamber and a scientist uses a long artificial arm to test Morty's reflexes. (Big Picture Picture Book (1983))
(2) The sound of a Morty Dog's nose being squeezed as a form of greeting by his pal Arnie Wormwood, who happens to be incredibly inebriated. (Cranium Frenzy 5 (1985))
See also: Skritch Scratch, Skritch Scratch Honk! Skritch Scratch Clunk! Yap Yap Yap Yap Kick! Glug Gabug Glug Gabug

Honk! Honk! Honk!: A Morty Dog honking behind the wheel of a station wagon and yelling, "Outta my way, ya peckerheads!" at some terrorists, who have mistaken the mutt as their transport. (Cranium Frenzy 1 (1981))

Hop!: A Morty Dog jumps over a deep trench hoping the group of 60 ft. tall men chasing him will fall in it. And they do, shouting YAA! HEY! YOW!(Cartoon Loonacy 1 (1983))

Hop! Plop: A very flattened Morty Dog, preparing to gain access to an electric typewriter in order to rewrite the script, jumps onto a stool belonging to his cartoon creator. (Big Mouth 3 (1993))

Hrrgh! Nnrgh! Grrrr: Two hardcore football fans, one from Nebraska and the other from Washington State, do battle on a snow covered roof. (Elephant 3 (1986))

Hrrrgh! Nrrrgh! Rrrrgh! Harrr! Arrr! Grrr: Sounds made by students going for their Masters in Librarianship who were also "drop-outs from other grad programs. These people had learned the rigors of graduate education the hard way. This time they were determined to finish!" (Gosky Comics (1986))

Hummmmm: Cranberry Alden, a Massachusetts farmer in 1692, is awakened by this unusual humming sound, and discovers it is an alien craft. (Cranium Frenzy 2 (1982))

Hurt!: With Pod behind the wheel and a Morty Dog as a passenger, they run over a pedestrian who has an occupied fishbowl for a head. (Pod Meets Morty The Dog (198something))