Can you explain me  which way is correct, Jesus or Krishna on the basis of spiritual proof by Bible as well as Bhagavad-gita?

The question is, as to which way is correct – Jesus or Krishna.

Firstly, it is necessary to examine the credentials of this question in the light of following references from Holy Bible and also Bhagavad-Gita.

Jesus is the son of God.

This statement is based upon the relationship between Jesus and The Supreme Lord.
(This is known as, ‘Sambandha’ in Vedic literature).

When Jesus says that he is the son of God he actually reveals what is the relationship between him and the Supreme Lord. In other words, Jesus explains about the, ‘Sambandha’ as described in Vedic literature. So there is no contradiction between words of Jesus and the contents of Vedic literature.

This can be further examined with following references –
a) Bible  (John 16.28)
‘I came forth from the father and have come into this world. Again I leave the world and go to the father.’

b) Bible (John 17.25)
‘O righteous Father! The world has not known you but I have known you. And these have known that you sent me’

c) Bible (John 17.26)
‘And I have declared to them your Name and will declare it that the love with which you loved me may be in them and I in them’

The above references from Bible make following things clear-

Reference (a) – John 16.28
Jesus affirms that there is a world which is eternal resting place and shelter of the living entities, who reside with the Supreme Lord there. And the Supreme Lord is the father of every living entity.

Reference (b) – John 17.25
Jesus affirms that he was sent by the Supreme Lord to this material world.

Reference (c)- John 17.26
Jesus instructs everyone about the glories of the Holy Name of the Lord so that everyone can attain love of the Supreme Lord.

In other words, Jesus lays stress upon
1) the relationship between living entity and the Lord.
2) existence of the eternal spiritual world which is the destination of every living entity.
3) attaining the love of Supreme Lord by chanting His Holy Name is the actual goal of life.

Now let us examine the above by referring to Bhagavad-Gita.
a) Bhagavad-Gita 14.4
Lord Krishna says, ‘sarva yonishu kaunteya …… aham beej-pradah pita’.
It is to be understood that all species of life, O son of Kunti, are made possible by birth in this material nature, and that I AM the seed giving FATHER.

(Thus Krishna affirms that He is the eternal father of all living entities.)

b) Bhagavad-Gita 8.15
Lord Krishna says, ‘After attaining Me, the great souls who are yogis in devotion never return to this temporary world, which is full of miseries, because they have attained the highest perfection.
(Thus Krishna declares that He and His abode is the actual eternal destination of every living entity.)

c) Bhagavad-Gita 9.34
Lord Krishna says, ‘Engage your mind always in thinking of Me, become My devotee, offer obeisances to Me and worship Me. Being completely absorbed in Me, surely you will come to Me’.

(Thus Krishna instructs every living entity to remember Him.
And when we remember someone we always think of that person by that person’s name. As such Krishna instructs everyone to remember Him by chanting His Holy Names ‘.)

The above explanation reveals that Jesus is the spiritual master empowered by the Supreme Lord in order to guide and lead the living entities to approach the Supreme Lord.

And the Supreme Lord Krishna is the destination.

Thus there is no question as to who is right, whether Krishna or Jesus. It can be said that Jesus is the authorized representative of the Supreme Lord who has lent a helping hand to everyone who are willing to approach the Supreme Lord by chanting His Holy Names and engage in His devotional service.

But unfortunately as people do not study scriptures under proper guidance of authorized spiritual master, they find various scriptures (whether Bhagavad-Gita, Bible or other scriptures) and various religious sects as contradictory. This is very very unfortunate.

The purpose of all religious scriptures is the same, i.e. to guide the living entities toward the path of God consciousness and service of the Supreme Lord. But relevant scriptures contain only that much knowledge which is understandable by people depending upon their level of consciousness. Hence some of the scriptures and spiritual masters reveal only partial knowledge about God while some reveal more knowledge. But ultimately their goal is same, i.e. to make everyone God conscious.

Now it is for us to decide whether we want to properly understand the scriptures or we want to just waste our valuable time and life in finding insignificant conflicts and contradictions among them. Like the purpose of all schools is to impart education. But those students who don’t understand this and are not serious about studies, they fight over petty issues by raising irrational doubts.
I hope this answers your question.