Having received first round byes, Andy Murray, seeded four and second-seeded Spaniard Rafael Nadal breezed into the third round.
Murray rebounded from his early exit at Indian Wells last week to beat Colombia's Alejandro Falla 6-2 6-3 in one hour and 16 minutes.
"I was expecting it to be tricky ... and managed to play better," said Murray, who will next face big-serving Canadian Milos Raonic, a 7-6 6-2 winner against French qualifier Arnaud Clement.
"Once I settled down and started playing well, I was in most of his service games. So I was putting pressure on him."
A victory in Miami for the 2009 champion was long overdue after he suffered straight-sets losses at the first hurdle against Mardy Fish in 2010 and the unheralded Alex Bogomolov Jr last year.
The presence of coach Ivan Lendl this week has boosted the Scot's confidence following his disastrous Indian Wells exit, with Murray admitting Lendl has become a steadying influence on his career.
"I spoke to him [following Indian Wells loss]", Murray said. "The first thing he said to me was, 'Don't worry about it at all. Don't overthink it'.
"He actually said that if he had had his way he would never have played at Indian Wells because he didn't like the conditions there.
"I spoke to all of the guys. Everyone said, 'Your attitude was good in practice. You did everything that they asked you to do off the court'.
"Then when we got on the court here we just got back to working on all of the stuff I was doing before Dubai, before Australia, and just got back to doing the basics."
That brought the reward of an opening win against Falla, with Murray now in the last 32 and looking for a long run.
"I didn't do anything incredible, but I was very, very solid," Murray said. "I made him work really hard and did all the basics well. That can get you wins and builds confidence. That's what I needed."
Meanwhile left-hander Nadal made short work of Santiago Giraldo, hammering the Colombian 6-2 6-0 in just over an hour.
American John Isner maintained his great run of form, which has included a win over world number one Novak Djokovic at Indian Wells, by defeating Russian Nikolay Davydenko 2-6 6-3 6-4, highlighted by 10 aces.
There was a hard-fought 7-5 7-5 win for sixth-seeded Frenchman Jo-Wilfried Tsonga against Xavier Malisse of Belgium, while the ninth-seeded Janko Tipsarevic of Serbia saw off Argentina's David Nalbandian 7-5 6-3.
Gilles Simon, the 13th seed from France, defeated Spain's Roberto Bautista-Agut 6-4 6-2, 18th-seeded Alexandr Dolgopolov of Ukraine beat Croatia's Antonio Veic 6-4 7-5, while 22nd-seeded Austrian Jurgen Melzer was a winner in three sets against Holland's Robin Haase, 7-6(2) 3-6 6-4.