They are reassuring the public that no rivers have burst their banks and that the flooding should subside fairly quickly, although more rain is predicted for the afternoon.
Flooding on railway lines has meant delays of up to one hour on London Midland and Virgin trains between Milton Keynes and Rugby.
Heavy rains have brought flooding to parts of Northamptonshire as the Environment Agency warn immediate action is necessary.
The areas most severely affected are currently around the Northampton Washland at the Cogenhoe Mill Caravan Site and Clipston.
The Environment Agency is warning of the risk of flooding in parts of the Anglia region following heavy rain.Read the full story ›
A Met Office yellow weather warning is in force for heavy rain and in the risk of flooding in parts of the Anglia region on Wednesday.
The warning is valid until 3pm and covers Milton Keynes, Northamptonshire and parts of Cambridgeshire, Bedfordshire and Hertfordshire.
The Met Office says persistent rain, heavy at times, is expected from the early hours of Wednesday, continuing during the morning before slowly easing in the afternoon.
Accompanied by windy conditions, this rain is likely to produce some flooding and difficult driving conditions.
"A depression developing west of Britain during Tuesday afternoon is expected to reach southwestern UK late on Tuesday evening or very early Wednesday and then continue slowly eastwards into southern England before turning south and gradually moving away into France later on Wednesday.
"The associated frontal system is expected to be an active feature associated with some heavy rain and hill snow, whilst the highest winds are expected in the southwestern quadrant of this depression.
"Widespread rainfall accumulations of 20 to 30 mm are expected, and very locally 50 to 60 mm could fall."
A driver had to be rescued by fire crews after his car became stuck in flood water in Essex.
Crews used a boat to release the man at Cobham Mill in Shalford.
They warned drivers to be careful on flooded roads.
Racing tomorrow is ABANDONED due to excessive rain. Apologies for any inconvenience this may cause. Our next meet is on 28th Jan 2016.
Six schoolchildren have been rescued by firefighters after their bus became trapped in flood water in Essex.
The bus was stuck in a flooded narrow lane at Farnham near Bishop's Stortford after a nearby stream overflowed following heavy rainfall overnight.
Leading Firefighter Dave Morland said: “The bus was in a narrow lane and had stopped to let a lorry go the other way. The water was deeper than he expected.
"It seems as the driver waited, water entered the exhaust, causing the bus problems and the engine cut out leaving the driver and his six passengers stranded.
"We carried the children to the water bank, they were all very brave and we were pleased to get them safely out pof their predicament quickly and safely. A local company took them into their office where they warmed up."
The Environment Agency has issued further flood alerts in the Anglia region as the wet start to January continues.Read the full story ›
There are travel problems on roads and railways in the Anglia region with continuing surface water flooding from the latest rainfall.
Standing water and heavy rain. Please drive carefully. Numerous collisions and floods already being dealt with in the counties. Drive safely
On the trains, there is disruption on the Stansted Express between Liverpool Street and Stansted Airport due to flooding between Elsenham and Audley End.
Abellio Greater Anglia says trains may be delayed by up to 45 minutes at short notice.
It's also affecting trains between Cambridge and Stansted.