The name acknowledges the former Towner Art Gallery in Old Town where the town's public art collection was previously housed.
The logo will be displayed on the new £8 million building next to the Congress Theatre, which is due to open early in 200
9.
It has been designed by London-based firm Together Design to appeal to the gallery's wide target audience.
The logo represents a folded strip giving a hand-made feel intended to suggest flexibility and encourage a sense of play
There is no fixed brand colour, but a palette of 12 colours has been developed for use with different applications.
Towner artistic director Matthew Rowe said, "We are delighted with Together Design's simple and effective solution to a challenging brief, which included appealing to Towner's broad range of future audiences whilst acknowledging the important history of the Towner Art Gallery and Collection and reflecting the contemporary architecture of the new building.
"The best designs are often the most straightforward and in the folded 't' Together Design has created an instantly recognisable brand and logo that will enable Towner to promote the innovative and inclusive nature of its programmes."
Katja Thielen, creative director at Together Design, said, "The mark works well at any scale and can be unfolded into a ribbon which makes it a very versatile device.
"We expect to have some fun with it. The branding is a departure from Towner's previous incarnation as the Towner Art Gallery but captures an innovative spirit that already existed."
Together Design worked with the gallery's management team on the design.
Emily Penny, brand planner at Together Design, added, "We needed to join up the heritage of the gallery with the feel of the new building and Towner's ambitions for the future.
"The brand is all about combining sophistication and accessibility. Towner will be welcoming and thought-provoking in all that it does."
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