According to the article https://medicine.careers360.com/articles/neet-counselling , the documents you need for NEET Counselling are:

NEET 2020 Admit Card

NEET Score Card

Class 10th certificate and marks sheet for date of Birth

ID proof like Aadhar/PAN/Driving License/Passport

8 Passport size photographs

Provisional Allotment Letter

Caste Certificate if applicable

PWD Certificate if applicable

So Character certificate is not mandatory. Neverthless, please mail NTA to check with them if Character certificate is mandatory. You can reach out to them at: ntaneet-ug@nic.in (mailto:ntaneet-ug@nic.in)

Hello,

Here is the list of documents required for NEET counselling process:-

1. NEET score card/letter
2. NEET admit card
3. Class 10th and 12th certificate and marksheet
4. passport photo
5. Categorical certificate(if you have applied for any reservation category)
6. Identity proof
7. NEET seat allotment letter

character certificate in not required during counselling process. During admission process, college leave certificate or migration certificate is required.

Hope it helps!