Henning, who left TTNG in February 2021, will take up the role with Inspire Europe Limited on 12 April.
She will be responsible for day-to-day running of Inspire while also supporting the board’s "ambitious development strategy".
Group chief executive Peter Pantelides said Henning would play a key role in Inspire’s efforts to emerge stronger from the coronavirus crisis.
"We have taken the time over the past year to put in place a robust plan of expansion and our strategy is to grow the business significantly over the next five years," said Pantelides.
"We believe the travel sector will bounce back quickly from Covid-19 and we are keen to take advantage of what the post-pandemic market will offer.
"With her 20-plus years of experience in travel and her strong leadership and commercial skills, Lisa will play an integral role in the growth of the business.
"Her proven track record of growing businesses quickly, will be particularly useful as we put in place our plans to expand our current offering including our homeworking division."
Henning added: "I’m really excited to be joining Inspire at a time when they have a clear strategy for growth. I’m looking forward to a new challenge with a team that has managed its business admirably over the past year, and who have big plans to build on its strong foundations for the future.
"One of my early priorities will be to talk with all of Inspire’s current commercial partners to identify areas of mutual benefit going forward alongside bringing in new partners.
"I look forward to building on the plans for homeworking, there is a great deal of excellent homeworkers in the market and I am keen to attract as much talent in this area to Inspire as possible."
Inspire Travel was established in 2001. It now employs a team of 55 full-time staff and turns over in excess of £25 million a year.
