"Howdy Houston", he tweeted soon after landing in Houston in the afternoon. "It's a bright afternoon here in Houston," he added.
"Looking forward to a wide range of programmes in this dynamic and energetic city today and tomorrow," the prime minister tweeted.
The prime minister was received at the airport by India's Ambassador to the US, Harsh Vardhan Shringla, and his American counterpart Ken Juster.
Both at the airport and at the hotel entrance, Modi was greeted by groups of Indian Americans with flags of India and the United States.
Soon after his arrival in Houston, #HowdyModi started trending on social media.
Indian community welcomes Modi
Prime Minister Narendra Modi was accorded a warm welcome by members of the Indian community as he arrived at the "dynamic and energetic city" of Houston for the mega "Howdy Modi" event in which he will be joined by US President Donald Trump.
The "Howdy Modi" event on Sunday at the sprawling NRG Football Stadium here is the largest gathering ever for an elected foreign leader visiting the US, other than the Pope.
US President Trump's presence at the Houston event marks a new milestone, Modi had said in his departure statement ahead of his visit.
This would be the first time a US President is attending an Indian-American community event with Modi.
Welcoming Trump "special gesture", the prime minister had said that it signifies the special friendship between India and USA and highlights the strength of the relationship and recognition of the contribution of the Indian community to American society and economy.
Round-table with oil sector CEOs
Prime Minister Narendra Modi met CEOs from the energy sector on the first day of his week-long US visit here on Saturday.
"Further energising India-USA friendship. Among the first engagements of PM @narendramodi in Houston is a meeting with CEOs from the energy sector. India and USA are looking to diversify cooperation in this sector," the Prime Minister's Office (PMO) said in a tweet.
It also posted a couple of photographs from the meeting, which was attended by the chief executive officers (CEOs) of some top oil companies based in the United States.
From Houston, Modi will fly to New York where he will address the annual high-level UN General Assembly session in New York on September 27 and will have a packed agenda of bilateral and multilateral engagements.
Modi will meet Trump in New York on Tuesday, the fourth meeting between the two leaders in as many months. The meeting in New York is expected to set the tone of bilateral relationship between the two countries over the next few years.
The two leaders are likely to discuss a range of bilateral, regional and global issues, including efforts to address the growing bilateral trade disputes, potential defence and energy deals and peace process in Afghanistan.
In his departure statement, Modi referred to the Indo-US relations and said working together, the two nations can contribute to building a more peaceful, stable, secure, sustainable and prosperous world.
Modi also said that at the High Level Segment of the 74th Session of the United Nations General Assembly, he would reiterate New Delhi's commitment to reformed multilateralism, which is responsive, effective and inclusive, and in which India plays her due role.
Foreign Secretary Vijay Gokhale in New Delhi on Thursday said the focus of Prime Minister Modi's week-long visit to the US to attend the UNGA will not be on terrorism, but on highlighting India's achievements and its global role.
He also asserted that abrogation of provisions of Article 370 from Jammu and Kashmir was an internal issue and off the agenda at the UN.