Plans submitted to East Riding Council stated the park would be on the northern edge of Swanland off Dale Road on farmland used for horse grazing.
Only one walker would be allowed into the park at any one time for either 30-minute or one-hour slots between the opening times of 6.15am and 9.15pm daily.
The plans come after the applicants opened another dog walking park six months ago which they said had had more than 3,000 bookings and 1,800 hours of use.
The site has been used both for grazing and as equestrian business for the last four years, with 2,000 trees recently planted to boost wildlife habitats.
It is surrounded by farmland and is bordered by housing on The Green to the south.
Plans stated trees in the middle of the site would provide large amounts of shade with plants and hedges on its edges keeping it from view.
The dog walking area would cover about two hectares and would be enclosed by a 1.9m timber post and wire mesh fence.
Walkers would be able to take a maximum of six dogs on the site at any one time. They will have to agree to use biodegradable dog foul bags when booking slots online.
Developers plan to let sections of the grassed walking area grow long to vary the experience for dogs and to plant wildflowers to enhance biodiversity.
They also plan to dig a tunnel and put in tyres for dogs to jump through and walk over. Other timber play equipment would also be put in to match the surrounding area and would be portable.
Parking would be at the north west corner of the site with spaces for three to four cars at any given time.
Plans stated: “It is universally recognised that dogs need to have an active lifestyle which helps towards their mental and physical development in younger years and beyond.
“We are not installing agility equipment, just some simple fun things for dogs to do.
“The proposal has the potential to provide a secure recreational facility for dogs and owners whilst respecting the inherent nature of its surroundings.
“We have been operating our dog walking field for six months and in that time we have had no incidents or reports of noise.
“It has shown local demand for secure, decent and most importantly well-maintained dog walking fields.”