The warning follows fake messages circulating on social platforms.
Rwanda National Police spokesperson, Commissioner of Police (CP) John Bosco Kabera said that individuals behind such forgeries will be located and brought to justice.
"It has been observed that some people forge or alter messages issued by Rwanda National Police to those cleared to go for essential services in this period when movements from homes are restricted to prevent the spread of Coronavirus," said CP Kabera.
"These misleading forgeries will not go unnoticed. Anyone caught in such criminal acts will face the appropriate consequences as the law stipulates," he added.
Forgery, under article 276 of the penal code, attracts imprisonment of between five and seven years and a fine of between Rwf3 million and Rwf5 million or one of these penalties.
He reminded those cleared to go for essential services to use the pass for the intended purpose rather than seeing it as an opportunity to engage in other "unnecessary and non-essential acts."
The essential services that can be requested online are:
Shopping for food, banking services, pharmacy, medical, funeral, and emergencies.
The applicant can log on to www.mc.gov.rw or dial *127# and follow the prompts.