Answer

In Jain Dharma, Shri Krishna is not a Tirthankar.

Shri Krishna is traditionally understood as one of the 63 Shalaka Purushas — specifically, he is the 9th Vasudev in Jain tradition.

So, Krishna does not have Tirthankar Naam Gotra in the sense of being a Tirthankar in his present birth.

Explanation

In Jain cosmology:

• There are 24 Tirthankars in each half time-cycle.
• There are also great universal personalities called Shalaka Purushas.
• Among them are 9 Vasudevs, and Shri Krishna is counted as the 9th Vasudev.

However, Jain tradition also says that Shri Krishna’s soul will attain spiritual progress in the future and will become a Tirthankar in a future time-cycle, according to traditional Jain accounts.

Takeaway

Shri Krishna is not a Tirthankar in the present Avasarpini, but in Jain tradition he is a highly significant soul as the 9th Vasudev, and is associated with future Tirthankarhood.