Third Energy submitted an application to extract shale gas at a site near Kirby Misperton in Ryedale in May 2015.
The authority said a report on the application had not yet been finalised but it had received more than 4,000 representations about the proposals.
Third Energy said it aimed to "minimise disruption to the local community".
Rasik Valand, chief executive of the company, said: "The hydraulic fracturing and testing is a key step towards determining the viability of producing gas from this hybrid sandstone and shale formation in North Yorkshire."
The county council's decision on the planning application had originally been expected last November but was delayed after the authority requested more information from Third Energy.
The council said it recognised there would be considerable public interest in the decision and was making arrangements to ensure the meeting, at County Hall in Northallerton, was managed "safely and effectively".
Environmental permits have already been granted to Third Energy by the Environment Agency.

In 2015, the city recorded 1,448 deaths per 100,000 of population, according to the Office for National Statistics.
That figure is 56% higher than neighbouring East Dunbartonshire, which had 926 deaths per 100,000.
Scotland as a whole had the poorest life expectancy of any of the UK nations - 1,177 per 100,000, compared to England's rate of 989.6.
Mortality rates for men in Glasgow stood at 1,787, while West Dunbartonshire had the poorest life expectancy for women with a figure of 1,246 per 100,000.
The Office for National Statistics (ONS) said: "The substantial variation in mortality rates between different local areas reflects underlying differences in factors such as income deprivation, socio-economic position and health behaviour."
The figures were in line with other publications which have shown wide differences between local authority areas.
But National Records of Scotland (NRS) figures covering 2011-13 suggested that both men and women were living longer.
Those figures said life expectancy was 76.8 years for men and 80.9 years for women.
A decision on whether to allow fracking at a site in North Yorkshire will be taken on 20 May, the county council has said.
[NEXT_CONCEPT]
Glasgow has the lowest life expectancy of any area in the UK, official figures have suggested.