Silvia Strnadova, 26, and husband Miroslav, 30, were arrested after taking the drugged baby - who is just four months old - to hospital.
"When we carried out checks it became apparent the child was in a critical state and had been given a strong dosage of drugs"
The tiny tot was so severely brain damaged that doctors said he was left "clinically dead."
WATCH: TERRIFIED TEEN SECRETLY FILMS FAMILY'S VIOLENT REACTION TO THE NEWS THAT HE IS GAY
A hospital spokesman said: "They came into the waiting room with the unconscious baby in a pram and demanded to see a doctor.
"When we carried out checks it became apparent the child was in a critical state and had been given a strong dosage of drugs."
Head doctor Anna Moracikova added: "The child's brain is severely damaged and he is clinically dead.
"His chances of survival are minimal and he is being kept alive by a life support machine."
READ: EXPERTS WARN THAT COVERING YOUR BABY'S PRAM PUTS YOUR INFANT'S LIFE AT RISK
DEBATE: SHOULD PREGNANT DRUG ADDICTS BE PROSECUTED?
The parents were well known as drug users in the neighbourhood; Miroslav had earned a reputation for being the best crystal meth cooker, not to mention for having a dangerously bad temper.
A police spokesman said: "The man admitted giving the baby the meth in order to stop him crying.
"He has been arrested for neglect and for causing harm to a minor. That may change if the child dies.
"He is in custody, while the woman has for the time being been released. We are still investigating her for failing to stop her partner giving the child the drug."
Read more:* Crystal meth addict jailed for life for beating 10-month-old to death.*
Stock images used.