The company already has an iPhone version of men's magazine, GQ.
Editorial director Thomas Wallace said the company is experimenting with different prices, types of advertising, and approaches to digitise the magazines, before finalising the format later this year.
The magazines were chosen for their range, he said. "GQ is men. Glamour is women. Vanity Fair is a dual audience. The New Yorker is unique with its periodicity, and therefore it's also more news or text-heavy, and it's a slightly older audience," Wallace said.
GQ will have a tablet version in April, while Vanity Fair and Wired will be launched in June. The New Yorker and Glamour will follow soon after.
During the test phase, the company will sell its digital magazines through iTunes. Wired will also be available in the non-iTunes format.