The Eastern Europeans are a coming force in rugby union and have aspirations of playing in the Six Nations.
They are 12th in the world rankings - two places above Italy - but have played top-tier nations only four times outside of World Cups.
Wales will also face New Zealand, Australia and South Africa in November.
Wales won three of their four autumn fixtures in 2016, beating South Africa, Japan and Argentina after losing to Australia.
Georgia have won the Rugby Europe Championship - Europe's second-tier competition below the Six Nations - for the last six seasons in succession.
They have already qualified for the 2019 World Cup in Japan having finished third in their group in the last tournament in England.
That campaign included a win over Tonga, while Georgia have also beaten Fiji and drawn with Samoa during the last year.

Liberal Democrat leader Tim Farron called Labour "careless" for spending European Union (EU) money on ineligible projects and the Conservatives "mean-spirited" to use flood relief money to repay the wrongly used funds.
The government blamed Labour's "mismanagement" of the money.
Labour has been approached for comment.
Local government minister Andrew Percy, revealed in a written statement that £15m EU Solidarity Funding received in respect of the winter 2015-16 floods would be "offset" by the £14.5m repayment.
The UK was "legally obliged" to make the repayment because there had been "ineligible spending under the Labour administration" of 2007 funding.
The remaining £500,000 was "only eligible to reimburse" the government for financial support given to affected areas, he said.
Westmorland and Lonsdale MP Mr Farron said the two parties had "combined to deprive flood-hit areas of much needed funds".
"Labour's overspending has hurt the North and all those affected by last year's floods," he said.
"But it is the Conservative's mean-spiritedness which means they have chosen to use this money to pay the fine, instead of passing this money on to flood-affected areas and paying the fine from Treasury coffers."
In response, Mr Percy said the government had delivered £300m to help flood-hit communities.
"Liberal Democrats are misleading the public by suggesting there's some EU magic money tree," he said.
Wales will play Georgia for the first time at the Principality Stadium in the 2017 autumn series.
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About £15m of funding intended for UK communities hit by floods last winter will instead be used to cover a "fine" for misspending a previous grant.