The ticket for the Grosvenor in Norwich was bought for seven shillings and sixpence and signed at the gig by John Lennon and Ringo Starr.
It also states the band were supported at the now defunct venue on Prince of Wales Road by local band Ricky Lee and the Hucklebucks.
The ticket is being auctioned by Bonhams on 3 July.
At the time of the gig The Beatles were celebrating their first number one single From Me To You, which stayed at the top of the British singles chart for seven weeks.
Bonhams said if the ticket also contained the signatures of Paul McCartney and George Harrison, it would have been worth nearer £4,000.

That the UK is still 'bold' but 'dependable', 'outward looking' and a bastion of free trade. She has done that in private sessions with several leaders and a press conference with President Obama.
But very frank words from the United States, Japan and Donald Tusk, the President of the European Council, will steal plenty of the headlines instead.
Remember she was an advocate, albeit a pretty quiet one, of staying in the EU in the first place, with the economy one of her main concerns. So Downing Street says she hasn't been surprised by the warnings about the future.
And perhaps dealing with public expressions of sentiments that have been already expressed in private isn't really the problem.
Perhaps the real difficulty for the now not so new prime minister is that the biggest demands on her abroad are the same as those at home. Other countries want more details of her plans for Britain's life after the EU.
But with no consensus, or anything like the details of post-Brexit Britain from government, there isn't that much that she can really tell them. The political danger of such a relatively blank page is that others will fill the space.

Broadband speeds in Kingsmere, on the edge of Bicester, rarely exceed 2Mbps, and some homes cannot get a landline.
Residents of the 400 homes have put up posters warning potential newcomers of the issue.
Developer Countryside Properties said it had provided ducting for the cables but it was up to BT what went in them.
BT said it proposed sharing the Â£45,000 cost of providing fibre-optic broadband.
The development at Kingsmere is part of the 13,000 homes planned by the government to turn Bicester into one of a new generation of garden cities, announced earlier this month.
Resident Matt Maunder said: "I'm a home worker, and I need good broadband to do my job. We've actually got residents who moved here in August who still don't have a phone line - that's just unacceptable.
"I can't carry out my job effectively, I can't take advantage of services like Skype, my family live abroad so I can't get in touch with them as easily as I would like.
"Unfortunately we have got people now saying they wish they hadn't moved here because of the way the service is and that's a real shame, particularly because it's been lauded as the latest and greatest housing development in the country."
BT said it had reached an agreement for 726 additional homes yet to be built and a proposal for the existing houses would be ready by 10 January.
Countryside Properties said the ducting installed at Kingsmere was based on a design agreed with BT in 2010, based on a copper network.
A spokesman said: "It is then BT/Openreach's decision as to whether they would run copper or fibre through the ducting."
Communications Minister Ed Vaizey said: "You wouldn't move into a brand new house in 2014/2015 and not expect to get superfast broadband. It is unacceptable."

Conservative-run Bath and North East Somerset Council is holding a presentation of initial concept pictures of the redevelopment.
Banes recently agreed it had to save £2.6m from its £351m budget in 2010-11.
It also approved plans to spend £200m over five years in projects, including £33m in Keynsham town centre.
The presentation is being held on 22 February at the Key Centre in Keynsham.
A council spokesman asked that people who want to attend give the authority notice in advance.
A signed Beatles ticket from a concert in Norfolk in 1963 is expected to fetch up to £2,000 at auction in London.
[NEXT_CONCEPT]
Theresa May's intention at this summit was to reassure other countries that life after the EU might be tricky to work out, but in the end, all will be just fine.
[NEXT_CONCEPT]
Residents in one of the government's new garden cities are warning potential home buyers there is no fast broadband on their development.
[NEXT_CONCEPT]
A council which wants to spend £33m on development including new offices, retail space and a library near Bath is inviting local people to see its plans.