Link to old thread on this topic, from 9th Edition.
Suppressed
A Suppressed unit cannot use Stratagems, or has their OC reduced by 1 (to a minimum of 0), controlling player's choice.
Shocked
A Shocked unit worsens their Ballistic Skill by 1, though never worse than 6+, and rolls one additional die when making a Charge or Advance Roll, then discards one of their opponent's choice. Their OC is set to 0. They cannot use Stratagems.
Broken
A Broken unit worsens their Ballistic Skill by 2 and Weapon Skill by 1, though never worse than 6+. (This is not cumulative with the Shocked penalties.) They cannot Charge or Advance, and if they are within Engagement Range of an enemy unit during the Movement Phase, they MUST attempt to Fall Back. Their OC is set to 0. They cannot use Stratagems or make us of any abilities from an attached Leader.
Tests are taken as follows:
-During your Command Phase, any unit below Starting Strength must take a Leadership check. Unless the unit is at Half Strength or less, this cannot cause them to become worse than Suppressed.
-The first time a unit is reduced to Half Strength, it must take a Leadership check at the end of the phase.
-If a unit loses any wounds due to a weapon with the Blast or Torrent rule, it must take a Leadership check at the end of the phase.
-If a unit loses any wounds due to a melee attack, it must make a Leadership check at the end of the phase.
If a unit has to take a Leadership check for multiple reasons (reduced to Half Strength and lost one or more wounds to a Blast or Torrent weapon, for example) each additional check past the first instead confers a -1 penalty to the roll. This stacks.
Whenever a Leadership check is made for Morale, a failure increase the level of Morale penalties. The order is Suppressed->Shocked->Broken.
During your Command Phase, a successful Leadership check reduces the level of Morale penalties by one. Tests taken at other times do not lessen Morale penalties, by default.
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For current rules, things that force Battleshock due to hitting with an attack should instead force one at the end of the phase. [Example: Infernus Marines hitting with their weapon would force a test at the end of the phase automatically upon hitting an Infantry unit at -1. If any wounds are lost, because they were lost from a Torrent weapon, they must take another test, for another -1 to their roll.]
Anything that works when a unit is Battleshocked works only on a Morale check or condition of Shocked or worse-merely being Suppressed does not qualify. [Example: Daemonic Terror would not do Mortal Wounds when an enemy unit fails a Leadership check that merely Suppresses them.]