The government bill calls for at least one attendant to be present at indoor tanning salons to guide customers on sunbed use and inform them of the effects of ultraviolet radiation.
The Ministry of Social Affairs and Health says a few dozen self-service tanning beds operate in Finland.
Scientists around the world have declared that solarium use increases the likelihood of developing skin cancer.
The bill also seeks to ban access to tanning salons to those under the age of 18. Children and teenagers are particularly susceptible, as sunburns suffered while young significantly boost the chances of later developing melanoma, the most dangerous form of skin cancer.