Wash the mugwort thoroughly and remove excess moisture.
Put mugwort, milk, sugar, and eggs in a blender and blend until smooth.
Pour the mugwort pudding mixture into a small saucepan and heat over low heat.
Strain through a cloth sieve.
Pour into pudding molds and steam in a water bath for 20–30 minutes.
Let cool and refrigerate for at least 2 hours to set.