Officials later provided an update and confirmed that the horses had been captured and accounted for.
Were pleased to confirm that all of the horses have been accounted for.
We are continuing to liaise with the army, Metropolitan Police said in a statement.
A number of personnel and horses have been injured and are receiving the appropriate medical attention, they added.
I assumed there had been some sort of accident or vehicle collision.
Theres a lot of traffic on that road at that time.
Some commuters in the area reportedly heard the injured soldier screaming in pain after falling off the animal.
I saw a soldier falling down into the street after the horse ran into a car.
You could see blood all over the parked car.
Another galloping horse reportedly crashed into a black cab before eventually being captured.
The horses come down this route every day, but today the horse looked stressed or panicked.
I saw the horse run away after it hit a bus.
People were screaming and running all over, Bashir said.
The construction worker noted that the soldiers injuries looked very serious, [and] he looked really hurt.
Our first paramedic was on the scene in five minutes.
We treated a patient at the scene and took them to hospital, the spokesperson added.
I was just sitting by the car with my passenger…
It was just like a smash, his head hit it very hard and then [went] down.