A teenage girl has been arrested on suspicion of attempted murder.
The school was earlier in lockdown with a large police presence and two air ambulances in attendance.
Dyfed-Powys Police say they are continuing to investigate the incident which occurred at about 11.20am this morning (Wednesday, 24 April).
Superintendent Ross Evans, Carmarthenshire Commander, said: “Just after 11.20am this morning we received a call advising us of an incident at Amman Valley School in Carmarthenshire.
“Emergency services immediately attended and the school was locked down for the safety of all on the premises.
“Three people – two teachers and a teenage pupil – have been taken to hospital with stab wounds. The family members of all those injured have been informed.
“A teenage girl has been arrested on suspicion of attempted murder and currently remains in police custody.
“A knife has been recovered as evidence.
“I am aware that there is footage of the incident currently circulating on social media and would ask that this is removed to preserve the integrity of the ongoing investigation, and to avoid further distress to those involved.
“I would also ask that people do not speculate while there is a police investigation ongoing, and to refer to official channels for factual updates.
“Local people will see more police in the area over the coming days as the investigation continues.
“I would like to reassure parents and the public that the incident has concluded, and pupils have now left the school.
“We are working with the school and other agencies to ensure appropriate support is available to all those involved.
“This was a very distressing incident, and our thoughts are with the victims, their family and everyone impacted by what has happened.
“We have set up a dedicated portal, and anyone with information that could help us with our investigation is asked to report it through this link to help police manage the volume of information coming in to us.
“Lastly, I would like to thank the whole community for their support and patience while police, emergency services, Carmarthenshire County Council and the school work through this distressing incident today and over the coming days.”
Carmarthenshire Council Leader, Cllr. Darren Price said: “On behalf of Carmarthenshire County Council I would like to extend my heartfelt sympathies to all affected by today’s incident and in particular to the three individuals who have been injured. My thoughts are with them and their families during this difficult time.
“I would like to take this opportunity to praise the teachers, staff and pupils at Ysgol Dyffryn Aman for the way they have responded to this shocking incident. As a Council our priority now is to do all that we can over the coming days and weeks to support the pupils and staff in the aftermath.
“Today’s events have come as a grave shock to the school community, Ammanford, Carmarthenshire and further afield.
“To support Dyfed Powys Police, Ysgol Dyffryn Aman will be closed tomorrow to all pupils and staff in order for officers to further carry out their investigations.
“Although the school will be closed, I want to reassure pupils, parents and staff that wellbeing support is available to anyone who has been affected. The school will continue its lessons online.
“I would like to reiterate Dyfed Powys Police’s request that social media footage relating to the incident is removed to avoid contempt of court and distress to those affected. We also ask people not to speculate whilst the investigation is ongoing.”