More than 20 people were killed and over 100 injured when a bomb exploded close to the Erawan shrine in the centre in Bangkok on Monday.
Thai police have released a detailed sketch of the main suspect in the shrine bombing.
The explosion at the Erwan shrine termed as the worst ever attack on Thailand by the prime minister.
"I would like to tell the bomber that if he wants to be safe, then he should turn himself in to officials and they will find a way to protect him," Gen. Prayuth said.
So far, no one has claimed responsibility for Monday's blast. The blast has also been described as an attempt to sabotage Thailand's tourism industry, an important part of its economy.
Read More: Bangkok: Explosion hit Erawan shrine reopens
The Erawan shrine reopened to the public on Wednesday with a handful of people arriving to place flowers in front of the statue of Hindu god Brahma.
The shrine is also popular with Thai Buddhists.