The 22-year-old Londoner who first broke the mark at the Anniversary Games in 2015 with a time of 10.99 was defeated by Ivory Coast's Murielle Ahoure.
Speaking to the BBC after the race she said "I'm over the moon, to get the British record is amazing,"
"I'm so happy with how the race went," Asher-Smith added.
"This year is all about focusing on the European Championships in Berlin in August. I'm free from university now so I can really focus on my racing."
Asher-Smith who broke her foot at the beginning of the 2017 season came fourth in the 200m at the World Championship in London in 2017. She also competed at this years Commonwealth Games where she took bronze in the 200.
Third place was won by the Commonwealth Games 100m champion Michelle-Lee Ahye from Trinidad and Tobago.