Vistakon, based in Deerwood Park in Jacksonville's Southside, makes the Acuvue brand of disposable contact lenses.
Angelini succeeds Dave Brown, who held the same title.
A Vistakon spokesman said Brown was "in the process of identifying his next opportunity within Johnson & Johnson."
Johnson & Johnson Vision Care said Angelini has more than 20 years of experience "building business and brands" at the company.
She has held sales and marketing leadership roles in the company's medical device and diagnostics segment and early in her career was responsible for introducing the 1-Day Acuvue brand of contact lenses to the Italian market.
The company said that most recently she "was challenged with the task of creating a global enterprise strategy for three previously separate businesses that came together to form Ethicon Surgical Care."
"Laura has compiled a consistent track record of leading growth and innovation throughout her Johnson & Johnson career," said Ashley McEvoy, company group chairman of Johnson & Johnson Vision Care in a statement.
"I think the contact lens category and vision care community will strongly benefit from her passion for and understanding of customer needs," she said.
Acuvue and Vistakon are trademarks of Johnson & Johnson Vision Care Inc.
Johnson & Johnson Vision Care Inc. announced Tuesday it appointed Laura Angelini as president of its North America businesses, including Jacksonville-based Vistakon.