Baroness Zahida Manzoor quit over the Lib Dems' policies on Europe and praised what she said was May's clear leadership on Brexit.
The 58-year-old said in a statement, "Leaving the Lib Dems - where I've been a member for three years in the House of Lords, was tough, but it was the right thing to do. I could not support the leadership of a party that calls itself democratic and then refuses to acknowledge the will of the people in a referendum".
"As Britain embarks on a new journey, outside the EU but reaching out to trade with the world, and as we really begin addressing the problems of social mobility at home, I look forward to helping play my part as a Conservative," she said.
She is the second former Lib Dem peer to switch to the Tories, after Lady Nicholson re-joined the party.
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