Siege of London
From 16 - 31 May, the division participated in the siege of London. This is the order of battle for the Siege of London:
Sixth Army
Commander: General Friedrich von Paulus
Army Reserve
299th Infantry Division (Moser)
LV Corps (Virow)
9th Panzer Division (Hubicki)
168th Infantry Division (Mundt)
213th Infantry Division (de l'Homme)
XLIV Corps (Koch)
9th Infantry Division (von Schleinitz)
297th Infantry Division (Pfeffer)
XVII Corps (Kienitz)
14th Panzer Division (Kühn)
56th Infantry Divsion (von Oven)
62nd Infantry Division (Keiner)
Ninth Army
Commander: General Walter Model
Army reserves:
161st Infantry Division (Recke)
V Corps (Ruoff)
5th Infantry Division (Allmendinger)
35th Infantry Division (Fischer)
106th Infantry Division (Dehner)
129th Infantry Division (Rittau)
VII Corps (Fahrmbacher)
8th Infantry Division (Höhne)
28th Infantry Division (Sinnhuber)
87th Infantry Division (von Studnitz)
XXIII Corps (Schubert)
102nd Infantry Division (Ansat)
206th Infantry Division (Höfl)
251st Infantry Division (Burdach)
256th Infantry Division (Kauffmann)
XXVII Corps (Wäger)
86th Infantry Division (Witthöft)
162nd Infantry Division (Franke)
255th Infantry Division (Wetzel)
15th Army
Commander: General Heinrich von Vietenghoff
Army Reserve:
711th Infantry Division (Haverkamp)
II Parachute Corps (Meindl)
3rd Falschirmjager Division (Barenthin)
5th Falschirmjager Division (Wilke)
6th Falschirmjager Division (von Heyking)
LX Corps (Koch-Erpach)
21st Panzer Division (von Bismark)
83rd Infantry Division (Seyffardt)
216th Infantry Division (von Gilsa)
319th Infantry Division (Müller)
XXXII Corps (Richter)
116th Panzer Division (Müller)
225th Infantry Division (von Tippelskirch)
302nd Infantry Division (von Kamp)
332nd Infantry Division (Kessel)
336th Infantry Division (Ansat)
16th Army (Busch)
II Corps
8th Panzer Division
12th Infantry Division
30th Infantry Division
32nd Infantry Division
X Corps
3rd Panzer Division
4th Panzer Division
78th Sturm Division (assault)
81st Infantry Division
XXXIX Corps
12th Panzer Division
20th Infantry Division
96th Infantry Division
254th Infantry Divisions
18th Army (Rommel)
I Army Corps
11th Infantry Division
21st Infantry Division
L Corps
93rd Infantry Division
126th Infantry Division
218th Infantry Division
XXVI Corps
1st Infantry Division
61st Infantry Division
217th Infantry Division
XXVIII Army Corps
58th Infantry Division
291st Infantry Division
LIV Corps
50th Infantry Division
170th Infantry Division

17 May 1942 the 46th Regiment along with the 30th Division is following the 32nd Infantry Division during the initial advance toward London. The 32nd ID advances to within 15 Kilometers of the city stopping just north of Orpington.

19 May 1942, the 46th Infantry Regiment conducts a passage of lines with the 4th Infantry Regiment, 32nd Infantry Division north of Orpington and followed the A208 North. The II Battalion received a company of Pzkw VI Tigers in support for their advance through the built up areas at Chiselhurst. The next two days Kampfgruppe-Abteilung SEILER slugs it out with British Motorized and armored forces in deadly house to house fighting. The II Battalion is task organized as follows:
No. 1 Company/530th Hvy Pzr Bn
One Tiger platoon (5 vehicles)
One rifle platoon
One HMG Platoon
No. 5 Company
Four rifle platoons
One Tiger platoon (5 vehicles)
One Pioneer squad
One HMG Platoon
No. 6 Company
Two rifle platoons
One Tiger platoon (5 vehicles)
One HMG Platoon
No. 7 Company
Two rifle platoons
One Tiger platoon (5 vehicles)
One Pioneer squad
AT Rifle section
One HMG Platoon
20 May 1942 No. 5 Company, the Battalion Main Effort with one tiger platoon, one pioneer squad and one Heavy machine Gun platoon attached advances along the A208 toward Mottingham. The company kampfgruppe is forced to ground during the fight. Although the panzers eliminate eleven M4A3 Shermans in the first four hours of fighting, they also lost two Tigers and at least a squad's worth of soldiers.

21 May 1942, the II battalion push the British Infantry Armor north of Mottingham and the I Battalion secures the railroad yard at Downham. The division is now 10 Kilometers from London.
22 May 1942, the 32nd Infantry Division's 96th Infantry Regiment conducts a passage of lines with the 46th Infantry and resumes the advance in the lead for the 30th Division. The 46th Regiment will remain in reserve for the next three days.
25 May 1942, the 46th Infantry Division conducts a passage of lines with the 94th Infantry Regiment, 32nd Infantry Division at Brockley. The III Battalion, 46th Infantry supported by the 30th Pzr Battalion assumes the lead for the Regiment. The I and II Battalions follow abreast in support of the III Battalion.
26 May 1942, the II Battalion bypasses the III Battalion with a Company of Tigers attached at Southfields and resumes the attack toward London. Artillery is intense and flattens most of the landscape in front of the soldiers of the 30th Infantry Division.
27 May 1942, the 46th Regiment advances along the Old Kent Rd. to Albany Rd. at Walworth.
28 May 942, the II Battalion, 46th Regiment suffers more casualties fighting through the city into Waterloo. The 30th Division secures the ground all along the south side of the Thames River. The 32nd Infantry and 8th Panzer Divisions prepare for the assault across the Thames River. The 3rd Falschirmjager Battalion has been fighting along the north side of the Thames River, but have stopped at Barking, about 8 kilometers from London center.
29 May 1942, the 94th Regiment and the 4th Regiment attempt a daylight River assault across the Thames River, but are decimated in the water and on the bridges. The 4th Infantry Regiment suffers 40% casualties and the 94th Infantry suffers 25% losses. The two regiments are pulled back toward Hastings for rest and refit.
30 May 1942, the 95th Regiment, 32nd Infantry Division supported by the 28th Panzer Grenadier Regiment and the 10th Panzer Regiment of the 8th Panzer Division attempt a river crossing of the Thames along a five kilometer front. Three divisions worth of artillery provide fires and smoke to obscure the crossings at night. The 43rd Tank Destroyer Battalion and the 8th Panzer Grenadier Regiment of the 8th Panzer Division link up with the 3rd Falschirmjager Regiment on the north side of the river. The 95th Regiment and the 8th Pzr Div secure a bridgehead on the north side of the river and tie their forces in all the way to Barking.
31 May 1942, the 46th and 26th Infantry Regiments supported by the 30th Panzer Battalion and the 530th Heavy Panzer Battalion make a final push through the 95th Infantry Regiment lines and link up with 6th Army units pushing south into the city. The siege of London ends. Parliament, the Prime Minister and the Royal Family had fled to Edinburgh two weeks prior.
With von Paulus' 6th Army
On 4 June 1942, the 30th Infantry Division is transferred to General Koch's XLIV Corps in von Paulus' 6th Army.
On 5 June 1942, Oberst Ernst Sieler, 46th Infantry Regimental Commander is killed during a bombing raid on his Regimental Command post near St. Albans, north of London. Oberstleutnant Dr. Maximilian Roßkopf took command of the regiment after Oberst Sieler was killed in action near St. Albans, United Kingdom.
June 1942, The German 6th Army with its LV and XVII slog across country north along the M1. They fight through Northampton, Leicester, Nottingham and Sheffield. There advance is rapid and find no significant opposition until they hit Leeds. Model's 9th Army attacks west toward Birmingham, Wales and Liverpool. The 15th Army cleans up Southern England while the 18th Army moves along the East coast keeping pace with the 6th Army in the center.
On 30 June 1942, the 30th Infantry Division Commander is suffers a heart attack and dies at his Division Command Post. Generalleutnant Kurt von Tippelskirch was only 52 years old at the time of his death. Generalleutnant Paul Winter replaces the von Tippelskirch as 30th Infantry Division Commander.
Sixth Army
Commander: General Friedrich von Paulus
Army Reserve
299th Infantry Division (Moser)
LV Corps (Virow)
9th Panzer Division (Hubicki)
168th Infantry Division (Mundt)
213th Infantry Division (de l'Homme)
XLIV Corps (Koch)
9th Infantry Division (von Schleinitz)
30th Infantry Division (Winter)
297th Infantry Division (Pfeffer)
XVII Corps (Kienitz)
14th Panzer Division (Kühn)
56th Infantry Divsion (von Oven)
62nd Infantry Division (Keiner)
References:
History of the 30th Infantry Division; Lexicon-der-Wehrmacht
18th Army (Wehrmacht)
16th Army (Wehrmacht)
9th Army (Wehrmacht)
15th Army (Wehrmacht)
6th Army
32nd Infantry Division (Wehrmacht)
8th Panzer Division