All semiconductors have indirect and direct band gap. Their observation depends of the experimental conditions. For the observation of a direct band gap is better very thin samples whereas for indirect gap is better thick samples. 

Best regards

Pedro 

Dear. Dr. Areef Billah

Good day and happy times

Yes, as mentioned above By Prof. Perdo

Semiconducting materials may have direct or indirect band gap (allowed or forbidden) depending upon their crystal structures which resulting from the preparative conditions. Usually and according to Tauc, its direct if the material is crystalline and indirect if the material is non-crystalline. But the same material may has the both if it has a partial crystalline nature.

For more details, you can go to my ResearchGate page. There are the two transitions types for the material but with different phases.

Good luck and best regards

Yours,

Ahmed S. Hassanien

Thank you Dr. P. Grima Gallardo and Dr. Ahmed Saeed Hassanien for very good reply.