Clark said that the government intends to introduce new fee regulations that would make the change come into force in the Autumn.
The minister said that most councils are experiencing a shortfall in fee income, "which is failing to meet the costs of deciding planning applications which, in turn, has to be subsidised by ordinary council tax payers, who end up subsidising the planning process".
Clark said: "Providing planning departments with the resources that are required to turn round planning applications efficiently and effectively is important.
"The planning application fee is a relatively small component of the costs of any development, but delays by planning departments in the processing of applications can lead to substantial costs for residents and professional developers."
But the announcement stops short of previous government proposals to allow local authorities to set their own planning fees.
In November 2010, Clark launched a consultation on plans to replace the current system – whereby fees are fixed by central government – with a system that would give local authorities the freedom to set their own fees to cover costs.
At the time, the Department for Communities and Local Government said that councils would be able to set their own fees from April 2011. But until today the government had yet to state whether it intended to push forward with the proposals in the consultation document.
In December 2011, DCLG permanent secretary Sir Bob Kerslake wrote to councils, stating that the consultation had raised a "complex" set of issues.
Kerslake told councils that the plan to decentralise planning fees had received support from town halls, but also a range of other responses "on the likely effects of a fee increase on development proposals".
John Silvester, publicity officer at the Planning Officers Society, said: "We've been battling for some time to get local fees introduced. This is not what we'd hoped for. Locally-set fees would enable authorities to cover the costs of their services more effectively."
But he added: "A 15 per cent increase is better than nothing at all and I think local authorities will welcome it."
Rhian Kelly, director for business environment at the Confederation of British Industry, said: "While businesses are in favour of planning application fees being set centrally, the government should be mindful of the additional strain that this 15 per cent increase will put on firms, who are already cautious with their development plans in these challenging economic times.
"Hard-pressed businesses and investors will expect the fee increase to be matched by service improvements, and the onus is on the government to monitor performance, so that investment is not deterred."
Speaking at last week’s Royal Town Planning Institute’s Planning Convention, Clark responded to concerns over disproportionate cuts to the budgets of council planning teams by saying that they must not be the "poor relation" in local authorities.
He said: "It’s very clear to me, if you believe in planning as strongly as I do, then planning can’t be the poor relation in local authorities." He added: "It is absolutely key to the regeneration and prosperity of all our communities."