My score in NEET 2019 is 340 and I m belongs to category ST Can I will get government medical College..

Dear Pooja, in 2018 under State Quota, 385 marks secured a seat in Rajamata Vijaya Raje Scindia Medical College under ST Category. So with 340 marks you unfortunately do not make a cut for a seat in the Government Medical College. However, you have a fair chance at any of the Private Medical Colleges:
Ajanta Institute of Medical Sciences
Geetanjali Medical College
NIMS University
Mahatma Gandhi Medical College
Having said that, cut offs change every year and are dependant on various factors like no.of seats available, no.of candidates appearing for the exam, top NEET score and difficulty of the exam. You can check the cut offs of various colleges in Rajasthan at:
https://medicine.careers360.com/articles/neet-cutoff-rajasthan

Hi dear,
Let us know your  domicile state so that we can give you a clear picture.
Hope this helps