The Ministry of Justice and the Wales Office said a total of £30m will also be spent on local businesses as the new £250m prison is built.
They said £1.1m had already been committed to companies in north Wales.
Work started on the prison at Wrexham industrial estate in September and is due to be completed in 2017. With 2,000 inmates it will be the UK's largest.
It is being built on the site of the former Firestone tyre factory.
The construction company Lend Lease, which has been selected to build the prison, is holding a meeting to determine how best to deliver its promises to the community during the construction.
The commitments include 100 new apprenticeships and 500 work placement days per year.

The permanent structure will replace a temporary barrier which has been in place since 2013.
Work on the trap is a collaboration between Historic Environment Scotland (HES) and the City of Edinburgh Council.
Construction will begin on Monday and is scheduled to last until March 2016. The trap consists of a wall about 3ft (1m) high, topped with metal railings.
HES director of heritage management Barbara Cummins said: "It's important that the public are assured that we have no immediate concerns regarding the rock face, however as impenetrable as the castle rock might appear, it's not immune to the effects of the weather.
"The constant freeze and thaw during the winter months can open up cracks in the rock face, which then allows a plant known as valerian to take root.
"Once this germinates the bulb expands and, over long periods of time, this process can cause rocks to fracture and fall."
There will be some traffic and parking restrictions on Johnston Terrace while the work is carried out.
Ms Cummins added: "At the moment we have a temporary structure in place which offers significant protection, and we supplement that by having our highly trained staff abseil down the rock on a regular basis to carefully remove loose fragments from the surface.
"Whilst these measures help to minimise the risk of rock falls, the regular monitoring and scaling is time consuming and ultimately disruptive to visitors to the castle and drivers on Johnston Terrace, which has to be closed whilst work is being carried out.
"The new rock trap will enhance our current risk control arrangements and reduce disruption in the process."

Beggars Group and Merlin both indicated their approval of Apple's new offer.
On Monday, Apple reversed its decision not to pay artists for songs streamed during a free trial period offered to users, following criticism from singer Taylor Swift.
Beggars Group said it was "happy to endorse" the new deal with Apple.
The company manages some of the best-known indie labels, with artists such as Adele, Radiohead and Basement Jaxx on its XL Recordings label.
In a statement, chairman Martin Mills said: "We are happy to endorse the deal with Apple Music as it now stands, and look forward to being a big part of a very exciting future."
Digital rights group Merlin looks after more than 20,000 independent record labels.
In a letter published by Billboard, Merlin chief executive Charles Caldas said: "Apple has made a decision to pay for all usage of Apple Music under the free trials on a per-play basis, as well as to modify a number of other terms that members had been communicating directly with Apple about.
"With these changes, we are happy to support the deal."
Mr Caldas stressed that it was for individual labels in the group to decide if they wanted to join the service.
Apple is preparing to launch Apple Music on 30 June.
It had originally planned not to pay artists for songs streamed during a three-month free trial offered to users, but changed its decision after Taylor Swift wrote an open letter criticising the company.
Google has responded by offering subscription-free access to its music-streaming service, Google Play Music, in the United States.
The "super-prison" being built in Wrexham will bring £23m a year to the local economy and 1,000 jobs.
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A new rock trap is to be constructed at Edinburgh Castle.
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Apple has reached an agreement with two leading indie music groups, paving the way for thousands of labels to join its new streaming service.