NEW YORK — Netflix Inc. has broken the three-month mark of subscribers as it continues to gain traction as the dominant player in the entertainment streaming marketplace.

    The Internet-TV streaming giant added 3.72 billion video subscribers in December, up from 3.54 billion in November and a record-high 3.71 billion in October, according to data compiled by Bloomberg from Nielsen Media.

    Netflix’s subscriber base has increased for three straight months.

    It is also up more than 50 percent compared with last year and now accounts for more than a quarter of all U.S. households, according an average of Nielsen estimates.

    Netflix also continues to grow its digital footprint and reach with original content, said David Kriegel, a Nielsen analyst who tracks the streaming service.

    Its content has surpassed a million U.K. households and is growing at a rate of 15 percent per month, the biggest increase of any company in the category, he said.

    “We are growing faster than ever and we are getting stronger,” Kriegels said.

    “We are not going to be able to catch up with that.”

    The company’s subscriber growth has been fueled by a resurgence in programming that is now available on the company’s video service and on platforms like Inc. and Netflix’s own Instant Video service, which is available in a variety of countries.

    Despite Netflix’s dominance, it faces some competition from cable companies.

    At the end of November, Comcast Corp., the largest U.s. cable provider, surpassed AT&T Inc. as the largest cable company in terms of subscribers.

    Comcast’s subscriber surge has helped it build a strong and stable revenue base and has helped drive a 30 percent increase in the number of subscribers compared with the previous quarter, said Chris Cox, a Comcast analyst.

    Other companies have also shown an uptick in the numbers of subscribers in recent months, such as Amazon.

    Com Inc., which added more than 30 million video subscribers for a total of 8.9 million in December.

    Meanwhile, other companies, such in the mobile phone business, have struggled.

    The number of smartphone subscribers declined for a second straight month in December for a third straight year.

    But Netflix has been a major force in the TV and Internet market, with about 60 percent of U. S. households now watching online, according the company.

    The company has a strong online footprint and has been able to deliver better value for content consumers, Cox said.

    Netflix, meanwhile, is expanding its TV service to include shows like The Handmaid’s Tale and its own streaming service, Netflix Original.

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