The world champion has made bad starts to both races and is trailing Mercedes team-mate Nico Rosberg by 17 points after two victories for the German.
Hamilton said his starting problems were "not a big issue", adding: "It is something we'll fix for the next race."
And he said he was "actually pretty chuffed" about finishing third in Bahrain after a first-lap collision.
Hamilton started on pole but was second behind Rosberg by the first corner, where he was hit by Valtteri Bottas's Williams and dropped to seventh.
The damage to his car cost him between 0.8-1.5 seconds a lap but Hamilton fought back to finish third behind Rosberg and Ferrari's Kimi Raikkonen.
Hamilton said his poor start in Australia two weeks ago was caused by a clutch problem and that in Bahrain "it was not entirely my fault but it was my reaction time that caused the delay".
Asked whether he was concerned about having to make up ground to Rosberg, just as he did on his way to the title in 2014, he said: "Don't worry about it - I'm not."
He added: "This is a psychological game for sure, but with age and experience I'm in the most solid place I've been. There's very little that can penetrate that.
"We easily had the pace to win. We didn't. We all feel the pain, but I just said to the guys: 'There is a long way to go; let's not worry about it.'
"I know it will come good. We've had two poles and we'll get more."
Rosberg, whose victory in Bahrain was his fifth victory in a row including the final three races of last season, said: "I'm just enjoying the moment - fighting for wins, knowing I'm going to be fighting for the win in China. I'm really not looking ahead."
However, he said Mercedes were concerned about the threat from Ferrari, whose lead driver Sebastian Vettel retired before the start with an engine failure.
"They showed good pace," Rosberg said. "They are close and they haven't shown what they can do because of various mishaps in the races so far.
"They are coming at us strong and we need to be careful."

The interior ministry confirmed his replacement as Abdul Rahman Rahimi, former police chief in Balkh province.
Gen Zahir resigned last week after presiding over a dramatic rise in militant attacks in recent months.
His spokesman sparked confusion days later by claiming his resignation had been rejected.
Interior ministry spokesman Sidiq Sidiqi said: "Abdul Rahman Rahimi, the former police chief of Balkh, is appointed as Kabul police chief and General Zahir is appointed as the head of the counter crime department.
"So far no-one is appointed as Balkh police chief and soon another general will be appointed there."
Gen Zahir gave no reason for his resignation, but he had faced increasing pressure, with insurgents carrying out nine deadly attacks in Kabul in the past two weeks.
The latest in a string of attacks targeted a compound used by a US-based charity on Saturday, killing three South Africans.
Last week, two American soldiers and two British embassy workers were killed in separate attacks, with dozens of Afghans also killed and injured.
Gen Zahir was himself the target of an attack in early November, when a suicide bomber infiltrated his offices and killed his deputy.
Afghan troops are preparing to take over national security before the withdrawal of foreign combat troops at the end of the month.
The Taliban stepped up attacks against foreign nationals, civilians and Afghan soldiers in recent months, raising concerns over the Afghan army's ability to protect the country from insurgents.
President Ashraf Ghani, who took power in September, has vowed to bring peace after decades of conflict.
On Sunday, he ratified security deals allowing some 12,000 Nato soldiers to remain for training and advisory purposes, after the withdrawal of foreign combat troops on 31 December.
A separate US-led force will assist Afghan troops in some operations against the Taliban.
Lewis Hamilton said he was "not worried" about his difficult start to the Formula 1 season.
[NEXT_CONCEPT]
A new police chief has been installed in the Afghan capital, Kabul, ending days of confusion over the fate of incumbent Gen Zahir Zahir.