The Bill will complement the “excellent” palliative care currently on offer in Scotland, not undermine it, they said in a letter.
One of the signatories, ear, nose and throat surgeon Gillian MacDougall, said more GPs support the proposed legislation but fear being labelled “Dr Death”.
The letter, published in the Herald newspaper, reads: “We believe the safeguards designed to protect the vulnerable are comprehensive and rigorous, with doctors being the best professionals to assess for any concerns regarding coercion.
“We are also reassured a doctor cannot be compelled to participate in the process, should they not wish to do so.
“As doctors, we support the Assisted Suicide (Scotland) Bill.”
The Bill is the second attempt to change the law by Ms MacDonald, who has Parkinson’s disease. A previous attempt was voted down by MSPs in 2010.
Under the proposed legislation, only those who are terminally ill or who are suffering from deteriorating progressive conditions which make life intolerable will be able to seek assisted suicide.