This is a minor salon-style cradle song characteristic of late 19th-century domestic piano repertoire. It relies on a simple, soothing rocking motif that requires delicate touch to avoid monotony.
Focus on maintaining an even, rhythmic swaying motion in the left hand while shaping the melody expressively.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.4) is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Berceuse (Op.4) lasts about 3 minutes.
Berceuse (Op.4) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Berceuse by Emil Wiegand, Black Beauty by Duke Ellington, Bright Eyes by Florence Price — see the full similar-pieces list on this page.