South West Trains said that all services had been brought to a halt by the incident.
The company say they were briefly stopped and were now normal.
Thousands of passengers would have been on trains on that section of line at the height of the rush hour.
More top news
Councillors in Bournemouth are due to approve an increase in council tax of almost 5% for the next financial year.
Tuesday morning's weather for the west of the region
Tuesday morning's weather for the east of the region