Three-month-old Mohammad Sudais suffered third degree burns in the blast at his home in Peshawar late last year. The accident claimed the lives of his father Mohammad Ameen, 30, mother Sumaira, 28, and 13-month-old brother Abdul Haseeb.
Doctors in Pakistan said they could do no more for him and recommended that he be treated in Glasgow.
A campaign by his Glasgow-based uncle, Mohammad Asif, and Positive Action in Housing has so far raised almost £13,000 and baby Mohammad arrived in Glasgow tonight, where he will be treated at Yorkhill Hospital and the city's Royal Infirmary.
Mr Asif flew to Dubai yesterday to meet Mohammad's flight from Peshawar and they travelled to Glasgow together, where they were met by Positive Action in Housing director Robina Qureshi and trustee Tom Harrigan.
Health Secretary Alex Neil has previously met the group and offered to assist Mohammad's treatment.
Ms Qureshi said: "When we began this appeal 12 days ago we never imagined the generosity that would come forward from people across the UK. I'm glad we were able help in some small way.
"Baby Mohammad's arrival in Scotland is a measure of this country's renowned humanitarian spirit. For now, he is Scotland's baby."
Former Glasgow MP and now Punjab Governor Mohammad Sarwar, shadow Scottish secretary Margaret Curran and the British High Commission in Islamabad also helped the campaign, the charity said.
Mr Harrigan said: "We are very glad baby Mohammad is now in Scotland. I personally would like to thank everyone who donated so generously to this appeal.
"I'd also like to show my appreciation to the Scottish Government for its spontaneous support. The money raised will be utilised to help with baby Mohammad's present and future special need, and we will keep everyone updated as to his progress."