Some Japanese people on social media complained that the trademarked brand, Kimono Intimates - a play on her name - disrespected traditional clothing.
Kardashian West initially defended the name in The New York Times last week, saying she wouldn't change it.
But on Tuesday, she said she would announcing a new name in due course.
The reality show star-turned-designer posted on Instagram: "I am always listening, learning and growing... When I announced the name of my shapewear line, I did so with the best intentions in mind."
She added: "After careful thought and consideration, I will be launching my Solutionwear brand under a new name."
The kimono, a loose long-sleeved Japanese robe, dates back to the 16th Century.
According to the Victoria & Albert Museum, "the kimono became the principal item of dress for all classes and sexes in Japan from the 16th Century and is still a symbol of Japanese culture".
One Japanese woman, Yuka Ohishi, told the BBC last week: "We wear kimonos to celebrate health, growth of children, engagements, marriages, graduations, at funerals. It's celebratory wear and passed on in families through the generations.
"[This] shapewear doesn't even resemble a kimono - she just chose a word that has Kim in it - there's no respect to what the garment actually means in our culture."