The Indian pair played well in patches but were hit on putting surfaces, which in general was very demanding for everyone in the field.
Lahiri scored 75-72 while Kapur shot 72-77. The cut came at five-over and Lahiri missed it by two and Kapur missed it by four, here yesterday.
Lahiri looked set to make his second cut in a Major this year till the 12th hole of the second round before running into a rough patch on the second nine, when he bogeyed three times in six holes to miss the cut by two.
Shiv Kapur, who came through a qualifier, had another disastrous start, this time from the tenth. He dropped shots on three of his first four holes -- the 10th, 11th and 12th. A birdie on 15th was his lone consoling moment of the day, as he added bogeys on 18th, first and then three in a row from fifth to seventh for a 77 after his first round 72 that saw him finish at nine-over 149 and way off the cut mark.
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Kapur said: "Nothing worked for me today and I was disappointed as I felt I was playing well before coming for the event."
The lead was shared by Masters champion Jordan Spieth (68-67) and Patrick Reed (66-69) of the United States, who were both five-under 135 for 36 holes. South African Branden Grace (69-67) and first round leader Dustin Johnson (65-71) were tied third.
Other prominent stars missing the cut included two-time Masters champion Bubba Watson, former US Open winners, Martin Kaymer, Graeme McDowell and Lucas Glover.
A big surprise missing out was Rickie Fowler (81-73), who was in top-5 at each of the four Majors last year.