In a statement on Tuesday, the SVP said a compulsory two-week quarantine should be put in place for arrivals from countries with high infection rates.
The party said travellers from ‘coronavirus hotspots’ such as Serbia were contributing to Switzerland’s rising infection rate.
In the statement, the SVP said it was necessary to quarantine arrivals from high-risk areas to ensure that the remaining population was protected from the virus.
If approved, the quarantine would be implemented immediately. While the SVP has the most seats in Swiss parliament, Switzerland's other political parties have been reluctant to implement a quarantine.
Coronavirus infections have increased in Switzerland in recent weeks, with the daily numbers rising from single figures in early June to more than 60 per day to end the month.
A coronavirus hotspot was found in the canton of Graübunden in late June can be traced to a group of men who returned from the Serbian capital of Belgrade.
A total of 73 people were put in quarantine due to the outbreak.