soap dish

noun

a dish designed to hold a bar of soap, especially as a bathroom or kitchen fixture attached to a sink, lavatory, or bathtub.

Origin of soap dish

First recorded in 1830–40

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Both the soap-dish and the wash-basin should be scoured daily.
Ontario Teachers' Manuals: Household Science in Rural Schools
Ministry of Education Ontario
The toy duck was still in the soap-dish, but I was too preoccupied to give it a thought.
Right Ho, Jeeves
P. G. Wodehouse
Striving to smother his mirth, Lanse bore the soap-dish away.
The Second Violin
Grace S. Richmond
Under the sink should be kept a slop-pail; and, on a shelf by it, a soap-dish and two water-pails.
A Treatise on Domestic Economy
Catherine Esther Beecher
The Eddystone lurched over, fell from its soap-dish rock and was engulfed in the quilty billows below.
Tommy Tregennis
Mary Elizabeth Phillips

1835 as a dish for a bar of soap; 1814 as a holder for shaving-soap, from soap (n.) + dish (n.).