The children, aged eight, 10 and 11, died after emergency calls to Babbs Mill Park, near Solihull, on Sunday.
The 10-year-old has been named as Jack Johnson but the identities of the other two boys are yet to be confirmed, as mourners leave tributes near the lake.
Another boy, six, rescued from the water remains in a critical condition.
Searches of the lake continued throughout Tuesday but police stressed there was no suggestion anybody else was missing.
On Monday night, mourners gathered for a candle-lit vigil, leaving flowers, soft toys and balloons.
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