According to media reports, Torsten Linke, the bank's managing director and head of relationship management for Southeast Asia, has also quit.
A spokeswoman for the bank confirmed Lee's departure to Fund Selector Asia, but declined to comment on Linke.
Lee joined the private bank in August 2011, according to her Linkedin profile.
Lee’s previous roles included working as director of sales at MFS Investment Management and vice president of alternative investments at Merrill Lynch.
In March, Standard Chartered hired Julius Baer (Singapore)’s Christian Mueller as global head of investment advisory.
The bank said at the time it was actively looking at expanding the team, especially for specialist roles in alternatives, fund selection and advisory.