3.4.3.1 Use of weapons while mounted

Only certain weapons are suitable for use for attacking or blocking/parrying while mounted. Other weapons simply do not have the reach necessary or involve a movement that is not compatible with staying mounted. The allowed weapons are:

Type Usable while mounted
Melee weapons Long sword, Hand-&-half, Two-handed sword, Battle axe, Great axe, Mace, Great hammer, Morningstar, Club, Heavy club, Javelin, Spear, Lance, Small shield, Medium shield
Thrown weapons Any thrown weapon
Missile weapons (Snapshot fire only) Short bow, Medium bow, Composite bow, Hand-held cross-bow, Light cross-bow
Close combat weapons/attacks Martial Kick (at a penalty of -2).
A Punch, Grapple, Martial Strike (at a penalty of -2), Arm Grab (at a penalty of -2), or any close combat weapon may be used by a mounted character only against an opponent that is at the same height and in the same hex (e.g. someone on the same mount as the character).
A Kick may be used by a mounted character against an opponent that is in the same hex (e.g. kicking someone who has closed with his mount).