The patents include one that relates to the front face of the iPhone and one for touch-screen technology.
It is another win for Apple, after it was awarded $1.05bn (£652m) in damages by a jury in a separate case in August.
The ITC can block the import of products into the US.
The judge's ruling will go in front of a full commission, which is scheduled to conclude its investigation in February.
Judge Thomas Pender agreed that Samsung violated four of Apple's patents, but was not in violation of two others listed by Apple in the complaint.
Three of the patents are related to software features, while one covers Apple's hardware.
However, the Samsung products in this case do not include its latest devices, limiting the impact of a potential import ban into the US.
Samsung has repeatedly argued that any sales ban would limit choice and raise prices for consumers in the US.
Apple and Samsung have bought legal cases against each other in more than 10 countries, each accusing the other of violating patents, as the two battle for market share in the hugely lucrative mobile industry.

A total of 19 SNP councillors were elected, up from 16 in 2012, as the Conservatives surged to 11 from three and Labour's total halved to nine.
Labour's finance convener Willie Young was among the casualties, but party group leader Jenny Laing kept her seat on the council.
In Aberdeenshire, the Conservatives overtook the SNP. In Moray, the SNP was the biggest party.
Mr Young said after the Aberdeen result: "The Conservatives have done very well. You've got to accept you can lose. That's politics for you."
By BBC Scotland political editor Brian Taylor
Let's talk numbers - there have been boundary changes which mean that some comparisons are made with "notional" outcomes in 2012, the last time these councils were contested.
On that count, the SNP are notionally down by a fractional seven seats. However, in terms of absolute numbers, the Nationalists have ended up with more councillors than in 2012.
Plus the SNP are the largest party in Scotland's four largest cities - including Glasgow, where jubilant supporters attended their ousting of Labour. They have waited decades for that.
Read more from Brian
In Aberdeenshire, the Conservatives had 23 seats, up from 14, while the SNP fell eight to 21. The Lib Dems gained two to 14, independents fell from 12 to 10, and labour dropped from two to one.
In Moray, nine SNP councillors were elected (down one) - along with eight Conservatives (up five), eight independent (down two) and one Labour (down two).
Orkney elected its first ever Scottish Greens councillor, while the SNP gained its first representative in Shetland.
Steve Sankey was elected in the East Mainland, South Ronaldsay and Burray ward of Orkney Islands Council.
Robbie McGregor won the uncontested Shetland South seat for the SNP.
Shetland's political leader Gary Robinson lost his Shetland West seat.
A US International Trade Commission judge, in a preliminary ruling, said Samsung infringed four of Apple's intellectual property patents.
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The SNP has become the biggest party on Aberdeen City Council.