Stuart Andrew, Pudsey, Horsforth and Aireborough Conservative MP, tweeted: " Incredible response by emergency services. The sounds of the attack were awful. My thoughts with all victims and pray they are ok."
A spokesman for Leeds West MP Rachel Reeves office said she was in the House of Commons this afternoon, adding: "We are in touch with Rachel and she is safe."
Leeds North West Lib Dem MP Greg Mulholland tweeted: "Awful news that a woman has died as a result of the attack today. Thoughts & prayers with her & her family."
Leeds East Labour MP Richard Burgon said he is currently among MPs locked down in the House of Commons chamber.
Mr Burgon said via text message: "Our thoughts and prayers are with the family and friends of those who have died in this brutal, senseless and unforgiveable attack and those who have been traumatised by witnessing it.
"Our police and security services have yet again demonstrated their dedication and bravery in the face of danger. Our emergency services have yet again demonstrated their skill and compassion and showed how indispensable they are. The full picture is not yet clear but what is clear is that democracy endures and prevails over these sickening attacks on it."
Pontefract and Castleford MP Yvette Cooper tweeted: "Awful to hear news of those hurt. Thoughts with them & families. Police & emergency services doing brave & vital job - we owe them thanks."