The president named France and Belgium as an example where she said, migrants "lived in ghettos, received big payments and did not work."
"There's a risk that in those ghettos they will be radicalized and pose threat to our society," Grybauskaite said in an interview published on Thursday.
The president also said that "we cannot pay more to refugees that to people of Lithuania."
Last month, Lithuania social security and labor minister announced the decision to cut the one-off settlement payment to refugees to EUR 204 from EUR 456, and they would also receive the monthly EUR 204 payment only for six months and it would be halved as of the seventh month.
According to Grybauskaite, EUR 204 "make as many as 83 percent" of the average pension in Lithuania. But UN officials and NGOs say refugees will not have time to find their own source of living and will live in poverty after the decision to cut payments to refugees and the time of their payment.
The first Iraqi family is scheduled to arrive in Lithuania from Greece next week under the EU relocation program.