diff --git a/doc/fixes3-7-0.txt b/doc/fixes3-7-0.txt
index df639a884..08dfb2f21 100644
--- a/doc/fixes3-7-0.txt
+++ b/doc/fixes3-7-0.txt
@@ -1558,6 +1558,7 @@ winter wolf cub was missing for monster to lycanthrope conversion
 monster elves shooting arrows weren't getting intended small to-hit and damage
 	bonuses
 safe armor enchantment limit is lowered by one for magical armor
+luck has a reduced effect on to-hit chance
 
 
 Fixes to 3.7.0-x General Problems Exposed Via git Repository
diff --git a/src/uhitm.c b/src/uhitm.c
index 316858896..954a0f1ea 100644
--- a/src/uhitm.c
+++ b/src/uhitm.c
@@ -372,7 +372,8 @@ find_roll_to_hit(
 
     *role_roll_penalty = 0; /* default is `none' */
 
-    tmp = 1 + Luck + abon() + find_mac(mtmp) + u.uhitinc
+    tmp = 1 + abon() + find_mac(mtmp) + u.uhitinc
+          + (sgn(Luck) * ((abs(Luck) + 2) / 3))
           + maybe_polyd(gy.youmonst.data->mlevel, u.ulevel);
 
     /* some actions should occur only once during multiple attacks */