As per Article 368, the Constitution of India can be amended by:

The correct option is Two-thirds majority in Parliament.

Step-by-Step Explanation:

1. Understanding Article 368:
Article 368 of Part XX of the Constitution of India deals with the constituent powers of Parliament to amend the Constitution and sets out the procedures for doing so.

2. Procedure for Amendment:
An amendment of the Constitution can be initiated only by the introduction of a Bill for the purpose in either House of Parliament (Lok Sabha or Rajya Sabha), and not in the state legislatures.

3. Majority Requirement:
The bill must be passed in each House by a special majority. Under Article 368, a special majority requires:
- A majority of the total membership of each House, and
- A majority of not less than two-thirds (2/3) of the members of that House present and voting.

4. Conclusion:
Therefore, as per Article 368, the Constitution of India can be amended by a two-thirds majority in Parliament.