Ahead of the upcoming 2020/21 Barclays FA Women’s Super League season, the attacking midfielder has put pen to paper on a two-year deal.
The 30-year-old has a range of top-flight experience, having previously played for Celtic FC and Glasgow City, Arsenal and most recently, Liverpool.
She has 66 caps for the Scotland national team, scored five times, and represented her country at the FIFA Women’s World Cup in 2019.
The move will see her link up with her international teammate Abbi Grant.
Speaking about her move, she said: "I’m really happy to be joining the Blues.
"After speaking with both (General Manager) Sarah Westwood and Carla Ward, I'm excited about their vision for the Club moving forward and I want to play a part in that.
"I can’t wait to hit the ground running and get the season started."
Head Coach Carla Ward said: “We’re delighted to get Christie on board, she has a wealth of experience in the Women’s Super League and internationally with Scotland."
"She’s a great fit for our Club and will also be a great mentor for our younger players.”
Murray will wear the number 10 shirt for Blues Women.